Stability Analysis of Delta Operator Systems with Actuator Saturation by a Saturation-Dependent Lyapunov Function

This paper proposes the stability of delta operator systems subjected to actuator saturation by a saturation-dependent Lyapunov function. This saturation-dependent Lyapunov function captures the real-time information on the severity of actuator saturation in delta domain. Linear matrix inequalities-...

Full description

Saved in:
Bibliographic Details
Published inCircuits, systems, and signal processing Vol. 34; no. 3; pp. 971 - 986
Main Authors Yang, Hongjiu, Li, Zhiwei, Hua, Changchun, Liu, Zhixin
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.03.2015
Springer Nature B.V
Subjects
Online AccessGet full text
ISSN0278-081X
1531-5878
DOI10.1007/s00034-014-9876-4

Cover

Abstract This paper proposes the stability of delta operator systems subjected to actuator saturation by a saturation-dependent Lyapunov function. This saturation-dependent Lyapunov function captures the real-time information on the severity of actuator saturation in delta domain. Linear matrix inequalities-based methods are developed for analyzing the stability of the delta operator system. Numerical example is given to illustrate the effectiveness of the developed techniques.
AbstractList This paper proposes the stability of delta operator systems subjected to actuator saturation by a saturation-dependent Lyapunov function. This saturation-dependent Lyapunov function captures the real-time information on the severity of actuator saturation in delta domain. Linear matrix inequalities-based methods are developed for analyzing the stability of the delta operator system. Numerical example is given to illustrate the effectiveness of the developed techniques.
Author Li, Zhiwei
Yang, Hongjiu
Liu, Zhixin
Hua, Changchun
Author_xml – sequence: 1
  givenname: Hongjiu
  surname: Yang
  fullname: Yang, Hongjiu
  email: yanghongjiu@ysu.edu.cn
  organization: The Institute of Electrical Engineering, Yanshan University
– sequence: 2
  givenname: Zhiwei
  surname: Li
  fullname: Li, Zhiwei
  organization: The Institute of Electrical Engineering, Yanshan University
– sequence: 3
  givenname: Changchun
  surname: Hua
  fullname: Hua, Changchun
  organization: The Institute of Electrical Engineering, Yanshan University
– sequence: 4
  givenname: Zhixin
  surname: Liu
  fullname: Liu, Zhixin
  organization: The Institute of Electrical Engineering, Yanshan University
BookMark eNp9kUFPHCEUx4mxSVftB-iNpJdeUBiYgTlutKsmm3jQQ2-EZd9YzCyMwLSZby_T8WBM9ETg_X7vkfc_Qcc-eEDoO6PnjFJ5kSilXBDKBGmVbIg4QitWc0ZqJdUxWtFKKkIV-_0VnaT0RClrRVut0PN9NjvXuzzhtTf9lFzCocNX0GeD7waIJoeI76eU4ZDwP5f_4LXN4_Jq8ljqLni8m7B5cydXMIDfg894O5lh9OEv3ozezrUz9KUzfYJvr-cpetj8eri8Idu769vL9ZZYLtpM7N4oo6yqFWPAQVoOLZeS1oYzvu_aToBkDRV7qIxomqZjQhRzVwCqhOGn6OfSdojheYSU9cElC31vPIQxadZIOTesVEF_vEOfwhjLNmaqVlzSghWKLZSNIaUInR6iO5g4aUb1nIFeMtAlAz1noEVx5DvHuvx_Qzka139qVouZyhT_CPHNnz6UXgAK9p32
CitedBy_id crossref_primary_10_1016_j_amc_2017_09_037
crossref_primary_10_1080_00207721_2018_1484196
crossref_primary_10_1016_j_ins_2018_05_039
crossref_primary_10_1109_ACCESS_2023_3347613
crossref_primary_10_1007_s00034_020_01414_w
crossref_primary_10_1016_j_neucom_2015_05_085
crossref_primary_10_1049_iet_cta_2015_0487
crossref_primary_10_3390_sym11091084
crossref_primary_10_1049_iet_cta_2015_0189
Cites_doi 10.1109/TCSII.2006.870550
10.1109/TAC.2012.2190194
10.1016/j.ins.2011.08.007
10.1016/j.automatica.2010.10.011
10.1007/978-3-642-28774-9
10.1109/9.981738
10.1109/TAC.2008.921036
10.1109/9.73576
10.1016/S0005-1098(03)00072-4
10.1049/ip-vis:19971043
10.1109/TAC.2006.886498
10.1016/0005-1098(86)90081-6
10.1109/TCSI.2006.880320
10.1049/ip-cta:19982049
10.1109/TAC.1986.1104162
10.1016/j.jfranklin.2010.05.003
10.1007/978-1-4612-0205-9
10.1109/TAC.2007.910711
10.1016/S0167-6911(00)00016-5
10.1016/j.jfranklin.2011.07.005
10.1049/iet-cta:20070070
10.1016/j.automatica.2012.05.045
10.1016/S0016-0032(96)00097-X
10.1109/TIE.2011.2107719
10.1109/TAC.2009.2020644
10.1016/S0005-1098(01)00209-6
10.1109/9.277251
ContentType Journal Article
Copyright Springer Science+Business Media New York 2014
Springer Science+Business Media New York 2015
Copyright_xml – notice: Springer Science+Business Media New York 2014
– notice: Springer Science+Business Media New York 2015
DBID AAYXX
CITATION
3V.
7SC
7SP
7XB
88I
8AL
8AO
8FD
8FE
8FG
8FK
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
GNUQQ
HCIFZ
JQ2
K7-
L6V
L7M
L~C
L~D
M0N
M2P
M7S
P5Z
P62
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
S0W
DOI 10.1007/s00034-014-9876-4
DatabaseName CrossRef
ProQuest Central (Corporate)
Computer and Information Systems Abstracts
Electronics & Communications Abstracts
ProQuest Central (purchase pre-March 2016)
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)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central
ProQuest Central Student
SciTech Premium Collection
ProQuest Computer Science Collection
Computer Science Database (ProQuest)
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
Computing Database
Science Database
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Proquest Central Premium
ProQuest One Academic (New)
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
ProQuest Central Basic
DELNET Engineering & Technology Collection
DatabaseTitle CrossRef
Computer Science Database
ProQuest Central Student
Technology Collection
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest One Academic Middle East (New)
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
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Central (New)
Advanced Technologies Database with Aerospace
Engineering Collection
Advanced Technologies & Aerospace Collection
ProQuest Computing
Engineering Database
ProQuest Science Journals (Alumni Edition)
ProQuest Central Basic
ProQuest Science Journals
ProQuest Computing (Alumni Edition)
ProQuest One Academic Eastern Edition
Electronics & Communications Abstracts
ProQuest Technology Collection
ProQuest SciTech Collection
Computer and Information Systems Abstracts Professional
Advanced Technologies & Aerospace Database
ProQuest One Academic UKI Edition
ProQuest DELNET Engineering and Technology Collection
Materials Science & Engineering Collection
ProQuest One Academic
ProQuest Central (Alumni)
ProQuest One Academic (New)
DatabaseTitleList
Technology Research Database
Computer Science Database
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1531-5878
EndPage 986
ExternalDocumentID 3605246131
10_1007_s00034_014_9876_4
Genre Feature
GroupedDBID -5B
-5G
-BR
-EM
-Y2
-~C
-~X
.86
.VR
06D
0R~
0VY
1N0
1SB
2.D
203
28-
29B
29~
2J2
2JN
2JY
2KG
2LR
2P1
2VQ
2~H
30V
3V.
4.4
406
408
409
40D
40E
5GY
5QI
5VS
67Z
6NX
78A
88I
8AO
8FE
8FG
8FW
8UJ
95-
95.
95~
96X
AAAVM
AABHQ
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYZH
ABAKF
ABBBX
ABBXA
ABDZT
ABECU
ABFTV
ABHQN
ABJCF
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABUWG
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACGFS
ACGOD
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
ACZOJ
ADHHG
ADHIR
ADIMF
ADINQ
ADKNI
ADKPE
ADRFC
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFIE
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMSY
AENEX
AEOHA
AEPYU
AESKC
AETLH
AEVLU
AEXYK
AFEXP
AFGCZ
AFKRA
AFLOW
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGGDS
AGJBK
AGMZJ
AGQEE
AGQMX
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHSBF
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AMYQR
AOCGG
ARAPS
ARCEE
ARMRJ
ASPBG
AVWKF
AXYYD
AYJHY
AZFZN
AZQEC
B-.
BA0
BBWZM
BDATZ
BENPR
BGLVJ
BGNMA
BPHCQ
BSONS
CAG
CCPQU
COF
CSCUP
DDRTE
DL5
DNIVK
DPUIP
DWQXO
EBLON
EBS
EIOEI
EJD
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNUQQ
GNWQR
GQ6
GQ7
GQ8
GXS
H13
HCIFZ
HF~
HG5
HG6
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
I-F
IHE
IJ-
IKXTQ
ITM
IWAJR
IXC
IZIGR
IZQ
I~X
J-C
J0Z
JBSCW
JCJTX
JZLTJ
K6V
K7-
KDC
KOV
KOW
L6V
LAS
LLZTM
M0N
M2P
M4Y
M7S
MA-
N2Q
N9A
NB0
NDZJH
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
O9J
OAM
P19
P2P
P62
P9P
PF0
PQQKQ
PROAC
PT4
PT5
PTHSS
Q2X
QOK
QOS
R4E
R89
R9I
RHV
RNI
RNS
ROL
RPX
RSV
RZK
S0W
S16
S1Z
S26
S27
S28
S3B
SAP
SCLPG
SCV
SDH
SDM
SEG
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TN5
TSG
TSK
TSV
TUC
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W23
W48
WK8
YLTOR
Z45
Z7R
Z7S
Z7X
Z7Z
Z83
Z88
Z8M
Z8N
Z8R
Z8T
Z8W
Z92
ZMTXR
_50
~A9
~EX
AAPKM
AAYXX
ABBRH
ABDBE
ABFSG
ACSTC
ADHKG
AEZWR
AFDZB
AFHIU
AFOHR
AGQPQ
AHPBZ
AHWEU
AIXLP
AMVHM
ATHPR
AYFIA
CITATION
PHGZM
PHGZT
7SC
7SP
7XB
8AL
8FD
8FK
ABRTQ
JQ2
L7M
L~C
L~D
PKEHL
PQEST
PQGLB
PQUKI
PRINS
Q9U
PUEGO
ID FETCH-LOGICAL-c349t-cda8a8c85811e3e7c3e937705a313df9f4e71604de2a4666f144c34b05a084a3
IEDL.DBID U2A
ISSN 0278-081X
IngestDate Sun Aug 24 04:13:12 EDT 2025
Sat Aug 16 00:51:18 EDT 2025
Tue Jul 01 00:50:47 EDT 2025
Thu Apr 24 22:57:07 EDT 2025
Fri Feb 21 02:32:51 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 3
Keywords Stability analysis
Saturation-dependent Lyapunov function
Actuator saturation
Delta operator system
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c349t-cda8a8c85811e3e7c3e937705a313df9f4e71604de2a4666f144c34b05a084a3
Notes SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
PQID 1658370772
PQPubID 30136
PageCount 16
ParticipantIDs proquest_miscellaneous_1677937728
proquest_journals_1658370772
crossref_primary_10_1007_s00034_014_9876_4
crossref_citationtrail_10_1007_s00034_014_9876_4
springer_journals_10_1007_s00034_014_9876_4
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20150300
2015-3-00
20150301
PublicationDateYYYYMMDD 2015-03-01
PublicationDate_xml – month: 3
  year: 2015
  text: 20150300
PublicationDecade 2010
PublicationPlace Boston
PublicationPlace_xml – name: Boston
– name: Cambridge
PublicationSubtitle CSSP
PublicationTitle Circuits, systems, and signal processing
PublicationTitleAbbrev Circuits Syst Signal Process
PublicationYear 2015
Publisher Springer US
Springer Nature B.V
Publisher_xml – name: Springer US
– name: Springer Nature B.V
References Li, Gevers (CR10) 1993; 38
Soh (CR16) 1991; 36
Middleton, Goodwin (CR13) 1986; 31
Middleton, Goodwin (CR14) 1990
Hu, Lin (CR6) 2002; 47
CR17
Yang, Xia (CR21) 2012; 48
Khoo, Reddy, Rajan (CR8) 2006; 53
Wu, Lin, Zheng (CR20) 2007; 52
Wang, Wang, Zuo (CR19) 2011; 348
Zhou, Lin, Duan (CR27) 2009; 54
Chan, Hui (CR2) 1998; 145
Yang, Xia, Shi (CR22) 2010; 347
Cao, Lin (CR1) 2003; 39
Qiu, Xia, Yang, Zhang (CR15) 2008; 2
Yang, Xia, Shi, Zhao (CR25) 2012
Hu, Lin (CR5) 2001
Mahmoud (CR12) 1997; 334
Zhou, Duan, Lin (CR28) 2011; 47
Lin, Lv (CR11) 2007; 52
Vijayan, Poor (CR18) 1997; 144
Yang, Xia, Shi, Fu (CR23) 2012; 57
Zhou, Duan, Lin (CR26) 2008; 53
Lee, Park, Joo (CR9) 2006; 53
Chen, Istepanian, Wu, Chu (CR3) 2000; 40
Goodwin, Middleton (CR4) 1986; 22
Zhu, Xia, Fu (CR29) 2011; 58
Hu, Lin, Chen (CR7) 2002; 38
Yang, Shi, Zhang, Qiu (CR24) 2012; 184
H Yang (9876_CR22) 2010; 347
9876_CR17
RE Middleton (9876_CR14) 1990
F Wu (9876_CR20) 2007; 52
B Zhou (9876_CR27) 2009; 54
S Chen (9876_CR3) 2000; 40
G Li (9876_CR10) 1993; 38
H Yang (9876_CR23) 2012; 57
T Hu (9876_CR6) 2002; 47
T Hu (9876_CR7) 2002; 38
Y Wang (9876_CR19) 2011; 348
Z Zhu (9876_CR29) 2011; 58
H Yang (9876_CR24) 2012; 184
CW Chan (9876_CR2) 1998; 145
RE Middleton (9876_CR13) 1986; 31
HJ Lee (9876_CR9) 2006; 53
Y-Y Cao (9876_CR1) 2003; 39
J Qiu (9876_CR15) 2008; 2
H Yang (9876_CR25) 2012
B Zhou (9876_CR28) 2011; 47
Z Lin (9876_CR11) 2007; 52
IH Khoo (9876_CR8) 2006; 53
MS Mahmoud (9876_CR12) 1997; 334
CR Soh (9876_CR16) 1991; 36
Q Hu (9876_CR5) 2001
R Vijayan (9876_CR18) 1997; 144
B Zhou (9876_CR26) 2008; 53
H Yang (9876_CR21) 2012; 48
GC Goodwin (9876_CR4) 1986; 22
References_xml – volume: 53
  start-page: 473
  issue: 6
  year: 2006
  end-page: 447
  ident: CR9
  article-title: Further refinement on LMI- based digital redesign: delta-operator approach
  publication-title: IEEE Trans. Circuits Syst. II, Exp. Briefs
  doi: 10.1109/TCSII.2006.870550
– volume: 57
  start-page: 2694
  issue: 10
  year: 2012
  end-page: 2700
  ident: CR23
  article-title: Stability analysis for high frequency networked control systems
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2012.2190194
– volume: 184
  start-page: 230
  issue: 1
  year: 2012
  end-page: 245
  ident: CR24
  article-title: Robust control for a class of discrete time fuzzy systems via delta operator approach
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2011.08.007
– volume: 47
  start-page: 316
  issue: 2
  year: 2011
  end-page: 325
  ident: CR28
  article-title: A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation
  publication-title: Automatica
  doi: 10.1016/j.automatica.2010.10.011
– year: 1990
  ident: CR14
  publication-title: Digital Control and Estimation: A Unified Approach
– year: 2012
  ident: CR25
  publication-title: Anal. Synth. Delta Oper. Syst.
  doi: 10.1007/978-3-642-28774-9
– volume: 47
  start-page: 164
  issue: 1
  year: 2002
  end-page: 169
  ident: CR6
  article-title: Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/9.981738
– volume: 53
  start-page: 1548
  issue: 6
  year: 2008
  end-page: 1554
  ident: CR26
  article-title: A parametric Lyapunov equation approach to the design of low gain feedback
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2008.921036
– volume: 36
  start-page: 377
  issue: 3
  year: 1991
  end-page: 380
  ident: CR16
  article-title: Robust stability of discrete-time systems using delta operators
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/9.73576
– volume: 39
  start-page: 1235
  issue: 7
  year: 2003
  end-page: 1241
  ident: CR1
  article-title: Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function
  publication-title: Automatica
  doi: 10.1016/S0005-1098(03)00072-4
– volume: 144
  start-page: 125
  issue: 3
  year: 1997
  end-page: 128
  ident: CR18
  article-title: Lattice filters based on the delta operator
  publication-title: IEE Proc. Vision Image Signal Process.
  doi: 10.1049/ip-vis:19971043
– volume: 52
  start-page: 122
  issue: 1
  year: 2007
  end-page: 128
  ident: CR20
  article-title: Output feedback stabilization of linear systems with actuator saturation
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2006.886498
– volume: 22
  start-page: 199
  issue: 2
  year: 1986
  end-page: 207
  ident: CR4
  article-title: Rapprochement between continuous and discrete model reference adaptive control
  publication-title: Automatica
  doi: 10.1016/0005-1098(86)90081-6
– volume: 53
  start-page: 2036
  issue: 9
  year: 2006
  end-page: 2047
  ident: CR8
  article-title: Symmetry study for delta-operator-based 2-D digital filters
  publication-title: IEEE Trans. Circuits Syst.
  doi: 10.1109/TCSI.2006.880320
– volume: 145
  start-page: 345
  issue: 3
  year: 1998
  end-page: 352
  ident: CR2
  article-title: Design of stable actuator saturation compensators in the frequency domain
  publication-title: IEE Proc. Control Theory Appl.
  doi: 10.1049/ip-cta:19982049
– volume: 31
  start-page: 1015
  issue: 11
  year: 1986
  end-page: 1021
  ident: CR13
  article-title: Improved finite word length characteristics in digital control using delta operators
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.1986.1104162
– volume: 347
  start-page: 1199
  issue: 7
  year: 2010
  end-page: 1213
  ident: CR22
  article-title: Observer-based sliding mode control for a class of discrete systems via delta operator approach
  publication-title: J. Frankl. Inst.
  doi: 10.1016/j.jfranklin.2010.05.003
– year: 2001
  ident: CR5
  publication-title: Control Systems with Actuator Saturation: Analysis and Design
  doi: 10.1007/978-1-4612-0205-9
– ident: CR17
– volume: 52
  start-page: 2351
  issue: 12
  year: 2007
  end-page: 2355
  ident: CR11
  article-title: Set invariance conditions for singular linear systems subject to actuator saturation
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2007.910711
– volume: 40
  start-page: 153
  issue: 3
  year: 2000
  end-page: 163
  ident: CR3
  article-title: Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators
  publication-title: Syst. Control Lett.
  doi: 10.1016/S0167-6911(00)00016-5
– volume: 348
  start-page: 2417
  issue: 9
  year: 2011
  end-page: 2429
  ident: CR19
  article-title: Controller synthesis for Markovian jump systems with incomplete knowledge of transition probabilities and actuator saturation
  publication-title: J. Frankl. Inst.
  doi: 10.1016/j.jfranklin.2011.07.005
– volume: 2
  start-page: 87
  issue: 1
  year: 2008
  end-page: 93
  ident: CR15
  article-title: Robust stabilization for a class of discrete-time systems with time-varying delays via delta operators
  publication-title: IET Control Theory Appl.
  doi: 10.1049/iet-cta:20070070
– volume: 48
  start-page: 1791
  issue: 8
  year: 2012
  end-page: 1795
  ident: CR21
  article-title: Low frequency positive real control for delta operator systems
  publication-title: Automatica
  doi: 10.1016/j.automatica.2012.05.045
– volume: 334
  start-page: 357
  issue: 3
  year: 1997
  end-page: 375
  ident: CR12
  article-title: Stabilization of dynamical systems with nonlinear actuators
  publication-title: J. Frankl. Inst.
  doi: 10.1016/S0016-0032(96)00097-X
– volume: 58
  start-page: 4898
  issue: 10
  year: 2011
  end-page: 4907
  ident: CR29
  article-title: Adaptive sliding mode control for attitude stabilization with actuator saturation
  publication-title: IEEE Trans. Ind. Electron.
  doi: 10.1109/TIE.2011.2107719
– volume: 54
  start-page: 1698
  issue: 7
  year: 2009
  end-page: 1704
  ident: CR27
  article-title: Properties of the parametric Lyapunov equation based low-gain design with applications in stabilization of time-delay systems
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2009.2020644
– volume: 38
  start-page: 351
  issue: 2
  year: 2002
  end-page: 359
  ident: CR7
  article-title: An analysis and design method for linear systems subject to actuator saturation and disturbance
  publication-title: Automatica
  doi: 10.1016/S0005-1098(01)00209-6
– volume: 38
  start-page: 802
  issue: 5
  year: 1993
  end-page: 807
  ident: CR10
  article-title: Comparative study of finite wordlength effects in shift and delta operator parameterizations
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/9.277251
– volume: 52
  start-page: 2351
  issue: 12
  year: 2007
  ident: 9876_CR11
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2007.910711
– volume: 48
  start-page: 1791
  issue: 8
  year: 2012
  ident: 9876_CR21
  publication-title: Automatica
  doi: 10.1016/j.automatica.2012.05.045
– volume: 145
  start-page: 345
  issue: 3
  year: 1998
  ident: 9876_CR2
  publication-title: IEE Proc. Control Theory Appl.
  doi: 10.1049/ip-cta:19982049
– volume: 54
  start-page: 1698
  issue: 7
  year: 2009
  ident: 9876_CR27
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2009.2020644
– volume: 53
  start-page: 2036
  issue: 9
  year: 2006
  ident: 9876_CR8
  publication-title: IEEE Trans. Circuits Syst.
  doi: 10.1109/TCSI.2006.880320
– volume: 31
  start-page: 1015
  issue: 11
  year: 1986
  ident: 9876_CR13
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.1986.1104162
– volume: 39
  start-page: 1235
  issue: 7
  year: 2003
  ident: 9876_CR1
  publication-title: Automatica
  doi: 10.1016/S0005-1098(03)00072-4
– volume: 22
  start-page: 199
  issue: 2
  year: 1986
  ident: 9876_CR4
  publication-title: Automatica
  doi: 10.1016/0005-1098(86)90081-6
– volume: 38
  start-page: 351
  issue: 2
  year: 2002
  ident: 9876_CR7
  publication-title: Automatica
  doi: 10.1016/S0005-1098(01)00209-6
– volume: 144
  start-page: 125
  issue: 3
  year: 1997
  ident: 9876_CR18
  publication-title: IEE Proc. Vision Image Signal Process.
  doi: 10.1049/ip-vis:19971043
– volume: 348
  start-page: 2417
  issue: 9
  year: 2011
  ident: 9876_CR19
  publication-title: J. Frankl. Inst.
  doi: 10.1016/j.jfranklin.2011.07.005
– volume: 347
  start-page: 1199
  issue: 7
  year: 2010
  ident: 9876_CR22
  publication-title: J. Frankl. Inst.
  doi: 10.1016/j.jfranklin.2010.05.003
– volume-title: Digital Control and Estimation: A Unified Approach
  year: 1990
  ident: 9876_CR14
– volume: 52
  start-page: 122
  issue: 1
  year: 2007
  ident: 9876_CR20
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2006.886498
– volume: 47
  start-page: 164
  issue: 1
  year: 2002
  ident: 9876_CR6
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/9.981738
– volume: 334
  start-page: 357
  issue: 3
  year: 1997
  ident: 9876_CR12
  publication-title: J. Frankl. Inst.
  doi: 10.1016/S0016-0032(96)00097-X
– volume: 58
  start-page: 4898
  issue: 10
  year: 2011
  ident: 9876_CR29
  publication-title: IEEE Trans. Ind. Electron.
  doi: 10.1109/TIE.2011.2107719
– volume: 184
  start-page: 230
  issue: 1
  year: 2012
  ident: 9876_CR24
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2011.08.007
– volume-title: Control Systems with Actuator Saturation: Analysis and Design
  year: 2001
  ident: 9876_CR5
  doi: 10.1007/978-1-4612-0205-9
– ident: 9876_CR17
– volume: 47
  start-page: 316
  issue: 2
  year: 2011
  ident: 9876_CR28
  publication-title: Automatica
  doi: 10.1016/j.automatica.2010.10.011
– volume-title: Anal. Synth. Delta Oper. Syst.
  year: 2012
  ident: 9876_CR25
  doi: 10.1007/978-3-642-28774-9
– volume: 2
  start-page: 87
  issue: 1
  year: 2008
  ident: 9876_CR15
  publication-title: IET Control Theory Appl.
  doi: 10.1049/iet-cta:20070070
– volume: 36
  start-page: 377
  issue: 3
  year: 1991
  ident: 9876_CR16
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/9.73576
– volume: 53
  start-page: 1548
  issue: 6
  year: 2008
  ident: 9876_CR26
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2008.921036
– volume: 38
  start-page: 802
  issue: 5
  year: 1993
  ident: 9876_CR10
  publication-title: IEEE Trans. Autom. Control
– volume: 40
  start-page: 153
  issue: 3
  year: 2000
  ident: 9876_CR3
  publication-title: Syst. Control Lett.
  doi: 10.1016/S0167-6911(00)00016-5
– volume: 57
  start-page: 2694
  issue: 10
  year: 2012
  ident: 9876_CR23
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2012.2190194
– volume: 53
  start-page: 473
  issue: 6
  year: 2006
  ident: 9876_CR9
  publication-title: IEEE Trans. Circuits Syst. II, Exp. Briefs
  doi: 10.1109/TCSII.2006.870550
SSID ssj0019492
Score 2.0609145
Snippet This paper proposes the stability of delta operator systems subjected to actuator saturation by a saturation-dependent Lyapunov function. This...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 971
SubjectTerms Actuators
Circuits
Circuits and Systems
Deltas
Electrical Engineering
Electronics and Microelectronics
Engineering
Instrumentation
Linear equations
Linear operators
Lyapunov functions
Mathematical models
Matrix
Real time
Saturation
Short Paper
Signal,Image and Speech Processing
Stability
SummonAdditionalLinks – databaseName: ProQuest Technology Collection
  dbid: 8FG
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV07T8MwELagLDAgnqK8ZCQmkEUSO7EzoQooFeKxFKlb5NjOhJIUUqT-e86u0xYkOia2E-nO9n3nO3-H0GWuk0hFUpMoVJoAvk1IHpqcpAzcOKO4jhJ7G_nlNRm8s6dRPPIHbl8-rbLdE91GrStlz8hvQjCVlAcABm_rMbFVo2x01ZfQWEcbIVgaO89F_3EeRUiZK4psg2sETN-ojWoGjkQ0oDb_ghHwuhPCftulBdj8Ex91Zqe_g7Y9XsS9mYJ30Zop99DWEovgPhoDYHQprlPcUozgqsD35qOR-K02LpCOPTU5tgevuGevjbi3ltfTKQfnUyyXnsm9L4_b4OeprCdl9Y37YARt2wEa9h-GdwPiKykQRVnaEKWlkEKJWIShoYYragCW8CCWNKS6SAtmwG8KmDaRZODQFOBmwcgcOgSCSXqIOmVVmiOEDdcsVaLghhYMlClNQeM8ibgqaJ6IsIuCVoyZ8izjttjFRzbnR3aSz0DymZV8xrroaj6knlFsrOp82uom86vtK1vMjS66mDfDOrHBD1maamL7cEsFyCPRRdetTpc-8d8Pj1f_8ARtAoSKZ1lpp6jTfE7MGcCUJj93c_EHnZLlKA
  priority: 102
  providerName: ProQuest
Title Stability Analysis of Delta Operator Systems with Actuator Saturation by a Saturation-Dependent Lyapunov Function
URI https://link.springer.com/article/10.1007/s00034-014-9876-4
https://www.proquest.com/docview/1658370772
https://www.proquest.com/docview/1677937728
Volume 34
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8QwEB58XPQgPnF9LBE8KYG2SZv0uOqu4htRWE8lTdPT0l21K-y_d5Jt6yoqeCptJi3MNJ35OplvAA7TLAp0oDIa-DqjGN9GNPVNSmOOMM5okQWRrUa-uY0unvhlP-xXddxv9W73OiXpvtRNsZvjUkHoyyni5IjyeVgMEbrb1fgUdJrUQcxdJ2SbUaPo7_p1KvOnW3x1Rp8R5rekqPM1vVVYqYJE0pladQ3mTLEOyzPUgRvwglGi29c6ITWvCBnm5MwMSkXuRsZlz0nFR07s31bSsbUi7qol83QWIemEqJlzelb1xC3J9USNxsXwnfTQ89mxTXjsdR9PL2jVPoFqxuOS6kxJJbUMpe8bZoRmBmMR4YWK-SzL45wbBEsez0ygOKKYHLEVzkxRwJNcsS1YKIaF2QZiRMZjLXNhWM7RgsrkLEyjQOicpZH0W-DVakx0RS1uO1wMkoYU2Wk-Qc0nVvMJb8FRM2U05dX4S3ivtk1SLbG3xMfYiQkP0UELDpphXBw246EKMxxbGWH5_0QgW3Bc23TmFr89cOdf0ruwhGFUON2ZtgcL5evY7GOoUqZtmJe98zYsds6fr7p4POne3j-03Qv7AVPU5b0
linkProvider Springer Nature
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3db9MwED-N7gF4QHyKwhhG2l6GLBLbiZMHhLZ1Vce6DqEi9c1ybOdpSjqWgvpH8T9ydpOuTGJve0z8JZ3Pvjvf3e8A9gqbMsO0pSw2lqJ-m9IidgXNBZpxzkjLUp-NfD5JRz_E11ky24I_XS6MD6vs7sRwUdva-DfyTzGKSi4jVAa_zK-orxrlvatdCY0VW5y55W802a4_nw5wf_cZG55Mj0e0rSpADRd5Q43Vmc5MlmRx7LiThjsU0TJKNI-5LfNSOLQhImEd0wKV-xJNDhxZYIcoE5rjtA9gW_iE1h5sH51Mvn1fuy1yEaowe28eRVk769yoUUAtjbgP-BAUzfyUin8F4Y12e8shG-Tc8Ck8aRVUcrjiqGew5arn8HgDtvAFXKGGGmJql6TDNCF1SQbustHkYu6C5560WOjEv_SSQ5-nEv56INHADaRYEr3xTQdtPd6GjJd6vqjqX2SIUte3vYTpfRD5FfSqunKvgThpRW6yUjpeCuQe7UqeFCmTpuRFmsV9iDoyKtPCmvvqGpdqDcgcKK-Q8spTXok-HKyHzFeYHnd13un2RrXH-1rdMGMfPqyb8WB6b4uuXL3wfaTHHpQs68PHbk83pvjfgm_uXvA9PBxNz8dqfDo5ewuPUH9LViFxO9Brfi7cO9SRmmK35UwC6p7Pwl9GyiIm
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwEB6VIiE4IJ7qQgEjwQVkNbGd2DkgVLGElpbCoUh7sxw_TlWypVnQ_jT-HWNvsl2Q6K3HxC9pPOOZ8Yy_AXjVuJJZZhxluXUU7duSNrlvaCXQjfNWOlbG18hfTsqD7-LzrJhtwe_xLUxMqxzPxHRQu87GO_K9HFUllxkag3thSIv4Nq3fz89prCAVI61jOY0Vixz55S903y7eHU5xr18zVn88_XBAhwoD1HJR9dQ6o4yyqlB57rmXlntU1zIrDM-5C1UQHv2JTDjPjEBDP6D7gSMb7JApYThOewNuSi6r6Pep-tM6gFGJVI85xvUoat3ZGFDNEn5pxmPqh6Do8JdU_K0SL-3cf0KzSePV9-DuYKqS_RVv3Yct3z6AOxsAhg_hHG3VlF27JCO6CekCmfqz3pCvc59i-GRARSfxzpfsxxcr6W-EFE18QZolMRvfdDpU5u3J8dLMF233k9Sof2PbIzi9DhI_hu22a_0OEC-dqKwK0vMgkI-MD7xoSiZt4E2p8glkIxm1HQDOY52NM72GZk6U10h5HSmvxQTerIfMV-geV3XeHfdGD4J-oS_ZcgIv180oojHuYlrfLWIfGVEIJVMTeDvu6cYU_1vwydULvoBbKAH6-PDk6CncRkOuWOXG7cJ2_2Phn6Gx1DfPE1sS0NcsBn8Av_Mk9g
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=Stability+Analysis+of+Delta+Operator+Systems+with+Actuator+Saturation+by+a+Saturation-Dependent+Lyapunov+Function&rft.jtitle=Circuits%2C+systems%2C+and+signal+processing&rft.au=Yang%2C+Hongjiu&rft.au=Li%2C+Zhiwei&rft.au=Hua%2C+Changchun&rft.au=Liu%2C+Zhixin&rft.date=2015-03-01&rft.pub=Springer+US&rft.issn=0278-081X&rft.eissn=1531-5878&rft.volume=34&rft.issue=3&rft.spage=971&rft.epage=986&rft_id=info:doi/10.1007%2Fs00034-014-9876-4&rft.externalDocID=10_1007_s00034_014_9876_4
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0278-081X&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0278-081X&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0278-081X&client=summon