Linear passive systems and maximal monotone mappings
This paper deals with a class of dynamical systems obtained from interconnecting linear systems with static set-valued relations. We first show that such an interconnection can be described by a differential inclusions with a maximal monotone set-valued mappings when the underlying linear system is...
Saved in:
Published in | Mathematical programming Vol. 157; no. 2; pp. 397 - 420 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.06.2016
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | This paper deals with a class of dynamical systems obtained from interconnecting linear systems with static set-valued relations. We first show that such an interconnection can be described by a differential inclusions with a maximal monotone set-valued mappings when the underlying linear system is passive and the static relation is maximal monotone. Based on the classical results on such differential inclusions, we conclude that such interconnections are well-posed in the sense of existence and uniqueness of solutions. Finally, we investigate conditions which guarantee well-posedness but are weaker than passivity. |
---|---|
AbstractList | This paper deals with a class of dynamical systems obtained from interconnecting linear systems with static set-valued relations. We first show that such an interconnection can be described by a differential inclusions with a maximal monotone set-valued mappings when the underlying linear system is passive and the static relation is maximal monotone. Based on the classical results on such differential inclusions, we conclude that such interconnections are well-posed in the sense of existence and uniqueness of solutions. Finally, we investigate conditions which guarantee well-posedness but are weaker than passivity. Issue Title: Special Issue: Complementarity Problems and Applications This paper deals with a class of dynamical systems obtained from interconnecting linear systems with static set-valued relations. We first show that such an interconnection can be described by a differential inclusions with a maximal monotone set-valued mappings when the underlying linear system is passive and the static relation is maximal monotone. Based on the classical results on such differential inclusions, we conclude that such interconnections are well-posed in the sense of existence and uniqueness of solutions. Finally, we investigate conditions which guarantee well-posedness but are weaker than passivity. |
Author | Schumacher, J. M. Camlibel, M. K. |
Author_xml | – sequence: 1 givenname: M. K. surname: Camlibel fullname: Camlibel, M. K. email: m.k.camlibel@rug.nl organization: Department of Mathematics, University of Groningen, Department of Electronics and Communication Engineering, Dogus University – sequence: 2 givenname: J. M. surname: Schumacher fullname: Schumacher, J. M. organization: Department of Econometrics and Operations Research, Tilburg University |
BookMark | eNp1kM1LAzEQxYNUsK3-Ad4WvHiJTr42m6MUv6DgRc8hzWbLlt3smtmK_e-N1IMIngaG33sz7y3ILA4xEHLJ4IYB6FtkwEBTYIqCkYrqEzJnUpRUlrKckTkAV1SVDM7IAnEHAExU1ZzIdRuDS8XoENuPUOABp9Bj4WJd9O6z7V1X9EMcpnwuL8axjVs8J6eN6zBc_MwleXu4f1090fXL4_Pqbk29MHyiTPImnwHwimtjxMZrueGNZrx2zjvHYWNqJb13oXJe1a7xzAQZhDHgnAhiSa6PvmMa3vcBJ9u36EPXuRiGPVpWcSW1zKkyevUH3Q37FPN3lmnDuABuykyxI-XTgJhCY8eUI6aDZWC_e7THHm3u0X73aHXW8KMGMxu3If1y_lf0BWqwdoI |
CODEN | MHPGA4 |
CitedBy_id | crossref_primary_10_1137_22M1503749 crossref_primary_10_1109_TAC_2023_3274690 crossref_primary_10_1137_16M1083657 crossref_primary_10_1016_j_sysconle_2022_105289 crossref_primary_10_1137_21M1396101 crossref_primary_10_1016_j_ifacol_2021_06_116 crossref_primary_10_1080_00036811_2022_2124974 crossref_primary_10_1016_j_jmaa_2016_11_025 crossref_primary_10_1109_MCS_2022_3157160 crossref_primary_10_1007_s10107_021_01666_7 crossref_primary_10_1016_j_nahs_2023_101406 crossref_primary_10_1007_s11228_020_00530_8 crossref_primary_10_1016_j_orl_2021_12_002 crossref_primary_10_1137_18M1234795 crossref_primary_10_1007_s10957_022_02027_w crossref_primary_10_1016_j_nahs_2024_101520 crossref_primary_10_1109_JPROC_2022_3163926 crossref_primary_10_1109_MCS_2022_3157118 crossref_primary_10_1080_02331934_2019_1686504 crossref_primary_10_1109_LCSYS_2019_2918979 crossref_primary_10_1007_s12215_022_00819_7 crossref_primary_10_1016_j_ejcon_2023_100854 crossref_primary_10_1016_j_nahs_2016_10_006 crossref_primary_10_1016_j_ifacol_2022_11_045 crossref_primary_10_1137_16M1077362 |
Cites_doi | 10.1016/0022-1236(69)90032-9 10.1007/s10107-006-0052-x 10.1098/rspa.1960.0144 10.1109/9.664151 10.1016/S0024-3795(01)00593-6 10.1137/S0036139997325199 10.3166/ejc.8.220-237 10.1016/S0167-6377(00)00042-0 10.1016/S0005-1098(98)90177-7 10.1109/TPEL.2008.2007420 10.1109/TAC.2004.825654 10.1007/s11228-007-0051-y 10.1007/s00033-012-0276-y 10.1007/s10107-013-0678-4 10.2140/pjm.1970.33.209 10.1109/TCSI.2003.815195 10.1137/0131050 10.1134/S0005117906100043 10.1016/j.sysconle.2003.09.007 10.1109/81.989165 10.1016/j.na.2010.08.034 10.1016/S0005-1098(03)00237-1 10.1307/mmj/1028998564 10.1016/S0021-7824(03)00071-0 10.1007/s00498-004-0145-0 10.1515/9781400873173 10.1137/1.9781611970715 10.1051/m2an:2002020 10.1007/978-1-4471-0339-4 10.1007/s10107-009-0268-7 10.1007/s10107-004-0544-5 |
ContentType | Journal Article |
Copyright | The Author(s) 2015 Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2016 |
Copyright_xml | – notice: The Author(s) 2015 – notice: Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2016 |
DBID | C6C AAYXX CITATION 3V. 7SC 7WY 7WZ 7XB 87Z 88I 8AL 8AO 8FD 8FE 8FG 8FK 8FL ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FRNLG F~G GNUQQ HCIFZ JQ2 K60 K6~ K7- L.- L6V L7M L~C L~D M0C M0N M2P M7S P5Z P62 PQBIZ PQBZA PQEST PQQKQ PQUKI PRINS PTHSS Q9U |
DOI | 10.1007/s10107-015-0945-7 |
DatabaseName | Springer Open Access CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Computing Database Science Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
DatabaseTitle | CrossRef ABI/INFORM Global (Corporate) ProQuest Business Collection (Alumni Edition) ProQuest One Business Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Pharma Collection ProQuest Central China ABI/INFORM Complete ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global ProQuest Computing Engineering Database ProQuest Science Journals (Alumni Edition) ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection ProQuest Business Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest One Academic ProQuest Central (Alumni) Business Premium Collection (Alumni) |
DatabaseTitleList | Computer and Information Systems Abstracts ABI/INFORM Global (Corporate) |
Database_xml | – sequence: 1 dbid: C6C name: Springer Open Access url: http://www.springeropen.com/ sourceTypes: Publisher – sequence: 2 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering Mathematics |
EISSN | 1436-4646 |
EndPage | 420 |
ExternalDocumentID | 4067485631 10_1007_s10107_015_0945_7 |
Genre | Feature |
GroupedDBID | --K --Z -52 -5D -5G -BR -EM -Y2 -~C -~X .4S .86 .DC .VR 06D 0R~ 0VY 199 1B1 1N0 1OL 1SB 203 28- 29M 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 6TJ 78A 7WY 88I 8AO 8FE 8FG 8FL 8TC 8UJ 8VB 95- 95. 95~ 96X AAAVM AABHQ AABYN AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABBXA ABDBF ABDZT ABECU ABFGW ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABPTK ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACGOD ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACNCT ACOKC ACOMO ACTTH ACVWB ACWMK ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEEQQ AEFIE AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AEMOZ AENEX AEOHA AEPOP AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFEXP AFFNX AFGCZ AFKRA AFLOW AFMKY AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGPAZ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC AKVCP ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN AZQEC B-. B0M BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ C6C CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 DWQXO EAD EAP EBA EBLON EBR EBS EBU ECS EDO EIOEI EJD EMI EMK EPL ESBYG EST ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GXS HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ H~9 I-F I09 IAO IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K1G K60 K6V K6~ K7- KDC KOV KOW L6V LAS LLZTM M0C M0N M2P M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQ- NQJWS NU0 O9- O93 O9G O9I O9J OAM P19 P2P P62 P9R PF0 PQBIZ PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS QWB R4E R89 R9I RHV RIG RNI RNS ROL RPX RPZ RSV RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TH9 TN5 TSG TSK TSV TUC TUS U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WH7 WK8 XPP YLTOR Z45 Z5O Z7R Z7S Z7X Z7Y Z7Z Z81 Z83 Z86 Z88 Z8M Z8N Z8R Z8T Z8W Z92 ZL0 ZMTXR ZWQNP ~02 ~8M ~EX AACDK AAEOY AAJBT AASML AAYXX ABAKF ACAOD ACDTI ACZOJ AEARS AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU CITATION H13 PQBZA 7SC 7XB 8AL 8FD 8FK JQ2 L.- L7M L~C L~D PQEST PQUKI PRINS Q9U AAYZH |
ID | FETCH-LOGICAL-c392t-142f01300c527993bc74b2f712daacaa20b9d54ccae8ac5dafc19e4e3990aa3e3 |
IEDL.DBID | AGYKE |
ISSN | 0025-5610 |
IngestDate | Fri Oct 25 10:49:16 EDT 2024 Thu Oct 10 20:39:13 EDT 2024 Thu Sep 12 18:53:10 EDT 2024 Sat Dec 16 12:02:29 EST 2023 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 2 |
Keywords | 47H05 93C05 34A60 34A12 90C33 47H04 |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c392t-142f01300c527993bc74b2f712daacaa20b9d54ccae8ac5dafc19e4e3990aa3e3 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
OpenAccessLink | https://proxy.k.utb.cz/login?url=http://link.springer.com/10.1007/s10107-015-0945-7 |
PQID | 1791230296 |
PQPubID | 25307 |
PageCount | 24 |
ParticipantIDs | proquest_miscellaneous_1825474610 proquest_journals_1791230296 crossref_primary_10_1007_s10107_015_0945_7 springer_journals_10_1007_s10107_015_0945_7 |
PublicationCentury | 2000 |
PublicationDate | 2016-06-01 |
PublicationDateYYYYMMDD | 2016-06-01 |
PublicationDate_xml | – month: 06 year: 2016 text: 2016-06-01 day: 01 |
PublicationDecade | 2010 |
PublicationPlace | Berlin/Heidelberg |
PublicationPlace_xml | – name: Berlin/Heidelberg – name: Heidelberg |
PublicationSubtitle | A Publication of the Mathematical Optimization Society |
PublicationTitle | Mathematical programming |
PublicationTitleAbbrev | Math. Program |
PublicationYear | 2016 |
Publisher | Springer Berlin Heidelberg Springer Nature B.V |
Publisher_xml | – name: Springer Berlin Heidelberg – name: Springer Nature B.V |
References | Brézis (CR7) 1973 Brogliato, Goeleven (CR32) 2013; 20 Camlibel, Heemels, Schumacher (CR28) 2002; 8 Bastien, Schatzman (CR25) 2002; 36 Camlibel, Schumacher (CR19) 2002; 351–352 Addi, Brogliato, Goeleven (CR15) 2011; 126 Pogromsky, Heemels, Nijmeijer (CR18) 2003; 39 Goeleven, Brogliato (CR39) 2004; 49 Liberzon (CR27) 2006; 67 Heemels, Schumacher, Weiland (CR21) 2000; 27 Schumacher (CR22) 2004; 101 Nagurney, Zhang (CR20) 1995 Rockafellar (CR35) 1970; 33 Vasca, Iannelli, Camlibel, Frasca (CR14) 2009; 24 Stewart (CR23) 2011 Rockafellar, Wets (CR29) 1998 Stampacchia (CR1) 1964; 258 Khatri, Mitra (CR42) 1976; 31 Lootsma, van der Schaft, Camlibel (CR17) 1999; 35 Brogliato (CR30) 2004; 51 Brogliato, Goeleven (CR41) 2005; 17 Phelps (CR36) 1997; 12 Rockafellar (CR38) 1970 Pang, Stewart (CR11) 2008; 113 Heemels, Schumacher, Weiland (CR10) 2000; 60 Facchinei, Pang (CR3) 2003 Bastien (CR26) 2013; 64 Cottle, Pang, Stone (CR8) 1992 Brogliato, Goeleven (CR31) 2011; 74 Adly, Goeleven (CR40) 2004; 83 Camlibel, Heemels, van der Schaft, Schumacher (CR13) 2003; 50 Tellegen (CR37) 1948; 3 Minty (CR4) 1961; 8 Adly, Outrata (CR16) 2013; 20 Minty (CR5) 1960; 257 Heemels, Camlibel, Schumacher (CR12) 2002; 49 Trentelman, Stoorvogel, Hautus (CR34) 2001 Crandall, Pazy (CR6) 1969; 3 Löhne (CR33) 2008; 16 Camlibel, Iannelli, Vasca (CR24) 2014; 145 van der Schaft, Schumacher (CR9) 1998; 43 Kinderlehrer, Stampacchia (CR2) 1980 G Stampacchia (945_CR1) 1964; 258 CG Khatri (945_CR42) 1976; 31 D Kinderlehrer (945_CR2) 1980 AJ Schaft van der (945_CR9) 1998; 43 RT Rockafellar (945_CR29) 1998 RW Cottle (945_CR8) 1992 S Adly (945_CR16) 2013; 20 H Brézis (945_CR7) 1973 RR Phelps (945_CR36) 1997; 12 J Bastien (945_CR26) 2013; 64 MR Liberzon (945_CR27) 2006; 67 B Brogliato (945_CR32) 2013; 20 A Löhne (945_CR33) 2008; 16 GJ Minty (945_CR5) 1960; 257 MK Camlibel (945_CR24) 2014; 145 MG Crandall (945_CR6) 1969; 3 YJ Lootsma (945_CR17) 1999; 35 F Vasca (945_CR14) 2009; 24 JM Schumacher (945_CR22) 2004; 101 K Addi (945_CR15) 2011; 126 B Brogliato (945_CR30) 2004; 51 RT Rockafellar (945_CR35) 1970; 33 RT Rockafellar (945_CR38) 1970 MK Camlibel (945_CR19) 2002; 351–352 D Goeleven (945_CR39) 2004; 49 B Brogliato (945_CR41) 2005; 17 DE Stewart (945_CR23) 2011 WPMH Heemels (945_CR21) 2000; 27 BDH Tellegen (945_CR37) 1948; 3 GJ Minty (945_CR4) 1961; 8 J Bastien (945_CR25) 2002; 36 F Facchinei (945_CR3) 2003 S Adly (945_CR40) 2004; 83 MK Camlibel (945_CR28) 2002; 8 A Nagurney (945_CR20) 1995 B Brogliato (945_CR31) 2011; 74 WPMH Heemels (945_CR10) 2000; 60 AY Pogromsky (945_CR18) 2003; 39 JS Pang (945_CR11) 2008; 113 HL Trentelman (945_CR34) 2001 WPMH Heemels (945_CR12) 2002; 49 MK Camlibel (945_CR13) 2003; 50 |
References_xml | – volume: 3 start-page: 376 year: 1969 end-page: 418 ident: CR6 article-title: Semi-groups of nonlinear contractions and dissipative sets publication-title: J. Funct. Anal. doi: 10.1016/0022-1236(69)90032-9 contributor: fullname: Pazy – volume: 113 start-page: 345 issue: 2 year: 2008 end-page: 424 ident: CR11 article-title: Differential variational inequalities publication-title: Math. Program. doi: 10.1007/s10107-006-0052-x contributor: fullname: Stewart – volume: 257 start-page: 194 year: 1960 end-page: 212 ident: CR5 article-title: Monotone networks publication-title: Proc. R. Soc. Lond. Ser. A doi: 10.1098/rspa.1960.0144 contributor: fullname: Minty – volume: 43 start-page: 483 issue: 4 year: 1998 end-page: 490 ident: CR9 article-title: Complementarity modelling of hybrid systems publication-title: IEEE Trans. Autom. Control doi: 10.1109/9.664151 contributor: fullname: Schumacher – volume: 351–352 start-page: 147 year: 2002 end-page: 184 ident: CR19 article-title: Existence and uniqueness of solutions for a class of piecewise linear dynamical systems publication-title: Linear Algebra Appl. doi: 10.1016/S0024-3795(01)00593-6 contributor: fullname: Schumacher – volume: 60 start-page: 1234 issue: 4 year: 2000 end-page: 1269 ident: CR10 article-title: Linear complementarity systems publication-title: SIAM J. Appl. Math. doi: 10.1137/S0036139997325199 contributor: fullname: Weiland – volume: 20 start-page: 881 issue: 3 year: 2013 end-page: 900 ident: CR32 article-title: Existence and uniqueness of solutions and stability of nonsmooth multivalued Lur’e dynamical systems publication-title: J. Convex Anal. contributor: fullname: Goeleven – volume: 8 start-page: 220 issue: 3 year: 2002 end-page: 237 ident: CR28 article-title: On linear passive complementarity systems publication-title: Eur. J. Control doi: 10.3166/ejc.8.220-237 contributor: fullname: Schumacher – year: 1998 ident: CR29 publication-title: Variational Analysis, A Series of Comprehensive Studies in Mathematics contributor: fullname: Wets – volume: 27 start-page: 83 year: 2000 end-page: 91 ident: CR21 article-title: Projected dynamical systems in a complementarity framework publication-title: Oper. Res. Lett. doi: 10.1016/S0167-6377(00)00042-0 contributor: fullname: Weiland – volume: 35 start-page: 467 issue: 3 year: 1999 end-page: 478 ident: CR17 article-title: Uniqueness of solutions of relay systems publication-title: Automatica doi: 10.1016/S0005-1098(98)90177-7 contributor: fullname: Camlibel – volume: 24 start-page: 456 issue: 2 year: 2009 end-page: 468 ident: CR14 article-title: A new perspective for modeling power electronics converters: complementarity framework publication-title: IEEE Trans. Power Electron. doi: 10.1109/TPEL.2008.2007420 contributor: fullname: Frasca – year: 1980 ident: CR2 publication-title: An Introduction to Variational Inequalities and Their Applications contributor: fullname: Stampacchia – volume: 49 start-page: 521 issue: 4 year: 2004 end-page: 534 ident: CR39 article-title: Stability and instability matrices for linear evolution variational inequalities publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2004.825654 contributor: fullname: Brogliato – volume: 3 start-page: 81 year: 1948 end-page: 101 ident: CR37 article-title: The gyrator, a new electric network element publication-title: Philips Res. Rep. contributor: fullname: Tellegen – year: 1992 ident: CR8 publication-title: The Linear Complementarity Problem contributor: fullname: Stone – volume: 16 start-page: 693 year: 2008 end-page: 700 ident: CR33 article-title: A characterization of maximal monotone operators publication-title: Set-valued Anal. doi: 10.1007/s11228-007-0051-y contributor: fullname: Löhne – volume: 64 start-page: 955 issue: 4 year: 2013 end-page: 966 ident: CR26 article-title: Convergence order of implicit Euler numerical scheme for maximal monotone differential inclusions publication-title: Zeitschrift für Angewandte Mathematik und Physik doi: 10.1007/s00033-012-0276-y contributor: fullname: Bastien – volume: 145 start-page: 531 year: 2014 end-page: 563 ident: CR24 article-title: Passivity and complementarity publication-title: Math. Program. A doi: 10.1007/s10107-013-0678-4 contributor: fullname: Vasca – volume: 33 start-page: 209 year: 1970 end-page: 216 ident: CR35 article-title: On the maximal monotonicity of subdifferential mappings publication-title: Pac. J. Math. doi: 10.2140/pjm.1970.33.209 contributor: fullname: Rockafellar – volume: 50 start-page: 1036 issue: 8 year: 2003 end-page: 1046 ident: CR13 article-title: Switched networks and complementarity publication-title: IEEE Trans. Circuits Syst. I Fundam. Theory Appl. doi: 10.1109/TCSI.2003.815195 contributor: fullname: Schumacher – volume: 31 start-page: 579 year: 1976 end-page: 585 ident: CR42 article-title: Hermitian and nonnegative definite solutions of linear matrix equations publication-title: SIAM J. Appl. Math. doi: 10.1137/0131050 contributor: fullname: Mitra – volume: 67 start-page: 1610 year: 2006 end-page: 1644 ident: CR27 article-title: Essays on the absolute stability theory publication-title: Autom. Remote Control doi: 10.1134/S0005117906100043 contributor: fullname: Liberzon – volume: 51 start-page: 343 year: 2004 end-page: 353 ident: CR30 article-title: Absolute stability and the Lagrange–Dirichlet theorem with monotone multivalued mappings publication-title: Syst. Control Lett. doi: 10.1016/j.sysconle.2003.09.007 contributor: fullname: Brogliato – year: 2003 ident: CR3 publication-title: Finite-Dimensional Variational Inequalities and Complementarity Problems contributor: fullname: Pang – volume: 49 start-page: 315 issue: 3 year: 2002 end-page: 327 ident: CR12 article-title: On the dynamic analysis of piecewise-linear networks publication-title: IEEE Trans. Circuits Syst. I Fundam. Theory Appl. doi: 10.1109/81.989165 contributor: fullname: Schumacher – year: 1973 ident: CR7 publication-title: Operateurs Maximaux Monotones contributor: fullname: Brézis – volume: 12 start-page: 193 year: 1997 end-page: 230 ident: CR36 article-title: Lectures on maximal monotone operators publication-title: Extr. Math. contributor: fullname: Phelps – volume: 20 start-page: 43 issue: 1 year: 2013 end-page: 66 ident: CR16 article-title: Qualitative stability of a class of non-monotone variational inclusions. Application in electronics publication-title: J. Convex Anal. contributor: fullname: Outrata – volume: 74 start-page: 195 issue: 1 year: 2011 end-page: 212 ident: CR31 article-title: Well-posedness, stability and invariance results for a class of multivalued Lur’e dynamical systems publication-title: Nonlinear Anal. Theory Methods Appl. doi: 10.1016/j.na.2010.08.034 contributor: fullname: Goeleven – volume: 39 start-page: 2139 year: 2003 end-page: 2147 ident: CR18 article-title: On solution concepts and well-posedness of linear relay systems publication-title: Automatica doi: 10.1016/S0005-1098(03)00237-1 contributor: fullname: Nijmeijer – volume: 8 start-page: 135 year: 1961 end-page: 137 ident: CR4 article-title: On the maximal domain of a “monotone” function publication-title: Mich. Math. J. doi: 10.1307/mmj/1028998564 contributor: fullname: Minty – volume: 83 start-page: 17 issue: 1 year: 2004 end-page: 51 ident: CR40 article-title: A stability theory for second-order nonsmooth dynamical systems with application to friction problems publication-title: Journal de Mathematiques Pures et Appliquees doi: 10.1016/S0021-7824(03)00071-0 contributor: fullname: Goeleven – volume: 17 start-page: 57 issue: 1 year: 2005 end-page: 76 ident: CR41 article-title: The Krakovskii-LaSalle invariance principle for a class of unilateral dynamical systems publication-title: Math. Control Signals Syst. doi: 10.1007/s00498-004-0145-0 contributor: fullname: Goeleven – volume: 258 start-page: 4413 year: 1964 end-page: 4416 ident: CR1 article-title: Formes bilineaires coercitives sur les ensembles convexes publication-title: Comptes rendus hebdomadaires des séances de l’Académie des sciences contributor: fullname: Stampacchia – year: 1970 ident: CR38 publication-title: Convex Analysis doi: 10.1515/9781400873173 contributor: fullname: Rockafellar – year: 2011 ident: CR23 publication-title: Dynamics with Inequalities. Impacts and Hard Constraints doi: 10.1137/1.9781611970715 contributor: fullname: Stewart – volume: 36 start-page: 427 year: 2002 end-page: 460 ident: CR25 article-title: Numerical precision for differential inclusions with uniqueness publication-title: ESAIM Math. Model. Numer. Anal. doi: 10.1051/m2an:2002020 contributor: fullname: Schatzman – year: 2001 ident: CR34 publication-title: Control Theory for Linear Systems doi: 10.1007/978-1-4471-0339-4 contributor: fullname: Hautus – volume: 126 start-page: 31 issue: 1 year: 2011 end-page: 67 ident: CR15 article-title: A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics publication-title: Math. Programm. doi: 10.1007/s10107-009-0268-7 contributor: fullname: Goeleven – year: 1995 ident: CR20 publication-title: Projected Dynamical Systems and Variational Inequalities with Applications contributor: fullname: Zhang – volume: 101 start-page: 263 year: 2004 end-page: 295 ident: CR22 article-title: Complementarity systems in optimization publication-title: Math. Program. Ser. B doi: 10.1007/s10107-004-0544-5 contributor: fullname: Schumacher – volume: 20 start-page: 43 issue: 1 year: 2013 ident: 945_CR16 publication-title: J. Convex Anal. contributor: fullname: S Adly – volume: 258 start-page: 4413 year: 1964 ident: 945_CR1 publication-title: Comptes rendus hebdomadaires des séances de l’Académie des sciences contributor: fullname: G Stampacchia – volume: 113 start-page: 345 issue: 2 year: 2008 ident: 945_CR11 publication-title: Math. Program. doi: 10.1007/s10107-006-0052-x contributor: fullname: JS Pang – volume: 24 start-page: 456 issue: 2 year: 2009 ident: 945_CR14 publication-title: IEEE Trans. Power Electron. doi: 10.1109/TPEL.2008.2007420 contributor: fullname: F Vasca – volume: 60 start-page: 1234 issue: 4 year: 2000 ident: 945_CR10 publication-title: SIAM J. Appl. Math. doi: 10.1137/S0036139997325199 contributor: fullname: WPMH Heemels – volume: 43 start-page: 483 issue: 4 year: 1998 ident: 945_CR9 publication-title: IEEE Trans. Autom. Control doi: 10.1109/9.664151 contributor: fullname: AJ Schaft van der – volume: 50 start-page: 1036 issue: 8 year: 2003 ident: 945_CR13 publication-title: IEEE Trans. Circuits Syst. I Fundam. Theory Appl. doi: 10.1109/TCSI.2003.815195 contributor: fullname: MK Camlibel – volume: 74 start-page: 195 issue: 1 year: 2011 ident: 945_CR31 publication-title: Nonlinear Anal. Theory Methods Appl. doi: 10.1016/j.na.2010.08.034 contributor: fullname: B Brogliato – volume-title: Control Theory for Linear Systems year: 2001 ident: 945_CR34 doi: 10.1007/978-1-4471-0339-4 contributor: fullname: HL Trentelman – volume: 8 start-page: 135 year: 1961 ident: 945_CR4 publication-title: Mich. Math. J. doi: 10.1307/mmj/1028998564 contributor: fullname: GJ Minty – volume: 20 start-page: 881 issue: 3 year: 2013 ident: 945_CR32 publication-title: J. Convex Anal. contributor: fullname: B Brogliato – volume: 16 start-page: 693 year: 2008 ident: 945_CR33 publication-title: Set-valued Anal. doi: 10.1007/s11228-007-0051-y contributor: fullname: A Löhne – volume: 3 start-page: 81 year: 1948 ident: 945_CR37 publication-title: Philips Res. Rep. contributor: fullname: BDH Tellegen – volume: 31 start-page: 579 year: 1976 ident: 945_CR42 publication-title: SIAM J. Appl. Math. doi: 10.1137/0131050 contributor: fullname: CG Khatri – volume: 49 start-page: 315 issue: 3 year: 2002 ident: 945_CR12 publication-title: IEEE Trans. Circuits Syst. I Fundam. Theory Appl. doi: 10.1109/81.989165 contributor: fullname: WPMH Heemels – volume: 101 start-page: 263 year: 2004 ident: 945_CR22 publication-title: Math. Program. Ser. B doi: 10.1007/s10107-004-0544-5 contributor: fullname: JM Schumacher – volume: 126 start-page: 31 issue: 1 year: 2011 ident: 945_CR15 publication-title: Math. Programm. doi: 10.1007/s10107-009-0268-7 contributor: fullname: K Addi – volume: 27 start-page: 83 year: 2000 ident: 945_CR21 publication-title: Oper. Res. Lett. doi: 10.1016/S0167-6377(00)00042-0 contributor: fullname: WPMH Heemels – volume-title: An Introduction to Variational Inequalities and Their Applications year: 1980 ident: 945_CR2 contributor: fullname: D Kinderlehrer – volume: 351–352 start-page: 147 year: 2002 ident: 945_CR19 publication-title: Linear Algebra Appl. doi: 10.1016/S0024-3795(01)00593-6 contributor: fullname: MK Camlibel – volume: 8 start-page: 220 issue: 3 year: 2002 ident: 945_CR28 publication-title: Eur. J. Control doi: 10.3166/ejc.8.220-237 contributor: fullname: MK Camlibel – volume: 83 start-page: 17 issue: 1 year: 2004 ident: 945_CR40 publication-title: Journal de Mathematiques Pures et Appliquees doi: 10.1016/S0021-7824(03)00071-0 contributor: fullname: S Adly – volume: 49 start-page: 521 issue: 4 year: 2004 ident: 945_CR39 publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2004.825654 contributor: fullname: D Goeleven – volume-title: Operateurs Maximaux Monotones year: 1973 ident: 945_CR7 contributor: fullname: H Brézis – volume: 145 start-page: 531 year: 2014 ident: 945_CR24 publication-title: Math. Program. A doi: 10.1007/s10107-013-0678-4 contributor: fullname: MK Camlibel – volume: 3 start-page: 376 year: 1969 ident: 945_CR6 publication-title: J. Funct. Anal. doi: 10.1016/0022-1236(69)90032-9 contributor: fullname: MG Crandall – volume: 36 start-page: 427 year: 2002 ident: 945_CR25 publication-title: ESAIM Math. Model. Numer. Anal. doi: 10.1051/m2an:2002020 contributor: fullname: J Bastien – volume-title: Finite-Dimensional Variational Inequalities and Complementarity Problems year: 2003 ident: 945_CR3 contributor: fullname: F Facchinei – volume-title: Variational Analysis, A Series of Comprehensive Studies in Mathematics year: 1998 ident: 945_CR29 contributor: fullname: RT Rockafellar – volume: 17 start-page: 57 issue: 1 year: 2005 ident: 945_CR41 publication-title: Math. Control Signals Syst. doi: 10.1007/s00498-004-0145-0 contributor: fullname: B Brogliato – volume: 67 start-page: 1610 year: 2006 ident: 945_CR27 publication-title: Autom. Remote Control doi: 10.1134/S0005117906100043 contributor: fullname: MR Liberzon – volume-title: Convex Analysis year: 1970 ident: 945_CR38 doi: 10.1515/9781400873173 contributor: fullname: RT Rockafellar – volume-title: Dynamics with Inequalities. Impacts and Hard Constraints year: 2011 ident: 945_CR23 doi: 10.1137/1.9781611970715 contributor: fullname: DE Stewart – volume: 12 start-page: 193 year: 1997 ident: 945_CR36 publication-title: Extr. Math. contributor: fullname: RR Phelps – volume: 39 start-page: 2139 year: 2003 ident: 945_CR18 publication-title: Automatica doi: 10.1016/S0005-1098(03)00237-1 contributor: fullname: AY Pogromsky – volume: 51 start-page: 343 year: 2004 ident: 945_CR30 publication-title: Syst. Control Lett. doi: 10.1016/j.sysconle.2003.09.007 contributor: fullname: B Brogliato – volume: 64 start-page: 955 issue: 4 year: 2013 ident: 945_CR26 publication-title: Zeitschrift für Angewandte Mathematik und Physik doi: 10.1007/s00033-012-0276-y contributor: fullname: J Bastien – volume: 257 start-page: 194 year: 1960 ident: 945_CR5 publication-title: Proc. R. Soc. Lond. Ser. A doi: 10.1098/rspa.1960.0144 contributor: fullname: GJ Minty – volume: 33 start-page: 209 year: 1970 ident: 945_CR35 publication-title: Pac. J. Math. doi: 10.2140/pjm.1970.33.209 contributor: fullname: RT Rockafellar – volume-title: The Linear Complementarity Problem year: 1992 ident: 945_CR8 contributor: fullname: RW Cottle – volume-title: Projected Dynamical Systems and Variational Inequalities with Applications year: 1995 ident: 945_CR20 contributor: fullname: A Nagurney – volume: 35 start-page: 467 issue: 3 year: 1999 ident: 945_CR17 publication-title: Automatica doi: 10.1016/S0005-1098(98)90177-7 contributor: fullname: YJ Lootsma |
SSID | ssj0001388 |
Score | 2.4044187 |
Snippet | This paper deals with a class of dynamical systems obtained from interconnecting linear systems with static set-valued relations. We first show that such an... Issue Title: Special Issue: Complementarity Problems and Applications This paper deals with a class of dynamical systems obtained from interconnecting linear... |
SourceID | proquest crossref springer |
SourceType | Aggregation Database Publisher |
StartPage | 397 |
SubjectTerms | Calculus of Variations and Optimal Control; Optimization Collaboration Combinatorics Convex analysis Differential equations Dynamical systems Full Length Paper Inclusions Interconnection Linear systems Mapping Mathematical analysis Mathematical and Computational Physics Mathematical functions Mathematical Methods in Physics Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Partial differential equations Passivity Studies System theory Theoretical Uniqueness |
SummonAdditionalLinks | – databaseName: AUTh Library subscriptions: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3PS8MwFH7odtGD-BOrUyp4UoJrmjTtSVQ2hrAh4mC3kqapeFi32Q38831vbbcp6LFtSOiX5L0vecn3AK65VRnpZLFMG8tEEqUsCU3IfF8oLqyfWEG3kfuDoDcUzyM5qjbciupYZW0Tl4Y6nRjaI78jGU2kyzwK7qczRlmjKLpapdDYhib3BIVpm4-dwcvryhZ7fhjWSVuJKdRxzfLynLc8dikZLnEkUz8905pu_oqQLh1Pdx_2KsboPpRdfABbNj-E3Q0dQXzqr8RXiyMQuL7E8etOkRejLXNLsebC1XnqjvXXxxhrw7-ZkAw3viCBhvfiGIbdzttTj1XJEZhBSjNnnuAZRR3bRnKFJCMxSiQ8Ux5PtTZa8zbiLgV2kA21kanOjBdZRB_dj9a-9U-gkWM7p-Cik1IC526ERXE-C_Th2ioruVBp26aBAzc1MPG01MCI12rHhGKMKMaEYqwcaNXQxdV0KOJ15zlwtfqMA5miEzq3kwWWobWqIvl3B25ryDeq-KvBs_8bPIcd5DhBebqrBY3558JeII-YJ5fVYPkGE4rDzg priority: 102 providerName: ProQuest |
Title | Linear passive systems and maximal monotone mappings |
URI | https://link.springer.com/article/10.1007/s10107-015-0945-7 https://www.proquest.com/docview/1791230296 https://search.proquest.com/docview/1825474610 |
Volume | 157 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1bS8MwFD7s8qIP3sXpHBV8UjLWNF26xzl2QdkQcTCfSpqmImPdsBuIv96T3jZvD3tpaRoSek5yznd6ki8A11TxQPNkkUBIRZjX8onnSIdYFuOUKctTTO9GHo6agzG7n9iTAtD810U4rWcZydhQb-x1M-NVkjbBiMQmvAhlW_N9laDc7r88dHP7a1qOkx3UqtFBlsv8q5Hv3mgNMX9kRWNn09tPNgBGMUehXmMyra-WXl1-_mZw3OI7DmAvxZ5GOxksh1BQ4RHsbjAS4tMwp3GNjoFhpIozwVggwkaraCS0z5EhQt-YiY-3GbaGw3iuCb2xQFM9vEYnMO51nzsDkh6zQCSCoyUxGQ10_rIhbcoRrniSM48G3KS-EFII2kAN2gxVrRwhbV8E0mwp1CM6MiEsZZ1CKcR-zsBAd8cZWoEWVkXLwBANCMWVTRn3G8pvVuAmE7e7SNg03DVvshaMi4JxtWBcXoFqphA3nViRq9lUMWqiLWzrKn-NU0LnOUSo5iuso6NeronkK3CbKWGjif86PN-q9gXsIHhqJsvGqlBavq_UJQKUpVeDotPr19Jxife77ujxCUs7zQ5ex7T9BU9Z3w8 |
link.rule.ids | 315,786,790,12792,21416,27955,27956,33406,33407,33777,33778,41114,41153,41556,42183,42222,42625,43633,43838,51609,52144,52267 |
linkProvider | Springer Nature |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3PT8IwFH5ROKgH4884RZ2JJ00j6zq6nYwaCCoQYyDhtnRdZzww0EHin-97bAM00eO2ps2-tu997Wu_B3DJjUxIJ4slShsmoiBmka995rpCcmHcyAi6jdztNdoD8TT0hsWGW1Ycqyxt4txQx2NNe-Q3JKOJdJkHjdvJB6OsURRdLVJorEOVJDf9ClTvm72X14UtdlzfL5O2ElMo45r55TlnfuzSY7jE8Zj86ZmWdPNXhHTueFo7sF0wRvsu7-JdWDPpHmyt6AjiU3chvprtg8D1JY5fe4K8GG2ZnYs1Z7ZKY3ukvt5HWBv-zZhkuPEFCTS8ZQcwaDX7D21WJEdgGinNlDmCJxR1rGuPSyQZkZYi4ol0eKyUVorXEXdPYAcZX2kvVol2AoPoo_tRyjXuIVRSbOcIbHRSUuDcDbAozmeBPlwZaTwuZFw3ccOCqxKYcJJrYIRLtWNCMUQUQ0IxlBbUSujCYjpk4bLzLLhYfMaBTNEJlZrxDMvQWlWS_LsF1yXkK1X81eDx_w2ew0a73-2Encfe8wlsIt9p5Ce9alCZfs7MKXKKaXRWDJxvfDPGxA |
linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3fT8IwEL4oJEYf_G1EUWfik6bCuo5uj0RBFCE-SIJPs-s6YwyDuJEY_3qvbAMk-mB83Nbctuvd9bvc9SvAGVU81DxZJBRSEea7AfEd6RDLYpwyZfmK6d3InW6t1WN3fbufnXMa593ueUky3dOgWZqipDIKwsrcxjdz0jJpE0xPbMKXocjQa1kBivWbp3ZjGoxNy3HyU1s1VMgLmz8J-b40zfDmQol0svI0N-A5_-a04eTtcpz4l_Jzgc7xHz-1CesZKjXqqRltwZKKtmFtjqsQrzpTgtd4BxjmsOgjxgixN8ZLIyWEjg0RBcZAfLwOUBoa-FBTfeMNTQLxEu9Cr9l4vGqR7AAGIhE2JcRkNNSVzaq0KUcg40vOfBpykwZCSCFoFefWZmgEyhHSDkQoTVfhDOMSJ4SlrD0oRPiefTBwIeQM44OLQzFmMMQJQnFlU8aDqgpqJTjPde-NUp4Nb8aorBXjoWI8rRiPl6Ccz46XuVzsaZ5VzKeoi7JOp4_RWXQFRERqOMYxOh_mmmK-BBf5hMyJ-O2FB38afQIrD9dN7_622z6EVURYtbS3rAyF5H2sjhDFJP5xZqlf7ofneA |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Linear+passive+systems+and+maximal+monotone+mappings&rft.jtitle=Mathematical+programming&rft.au=Camlibel%2C+M.+K.&rft.au=Schumacher%2C+J.+M.&rft.date=2016-06-01&rft.pub=Springer+Berlin+Heidelberg&rft.issn=0025-5610&rft.eissn=1436-4646&rft.volume=157&rft.issue=2&rft.spage=397&rft.epage=420&rft_id=info:doi/10.1007%2Fs10107-015-0945-7&rft.externalDocID=10_1007_s10107_015_0945_7 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0025-5610&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0025-5610&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0025-5610&client=summon |