Delay-independent stability of homogeneous systems

A class of nonlinear systems with homogeneous right-hand sides and time-varying delay is studied. It is assumed that the trivial solution of a system is asymptotically stable when delay is equal to zero. By the usage of the Lyapunov direct method and the Razumikhin approach, it is proved that the as...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 34; pp. 43 - 50
Main Authors Aleksandrov, A.Yu, Zhabko, A.P.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2014
Subjects
Approximation
Asymptotic properties
Asymptotic stability
Delay
Dynamical systems
Homogeneous systems
Lyapunov function
Mathematical analysis
Nonlinear dynamics
Nonlinearity
Oscillatory systems
Stability
Time-delay
Oscillatory systems
Asymptotic stability
Homogeneous systems
Time-delay
Lyapunov function
Online AccessGet full text

Cover

Abstract A class of nonlinear systems with homogeneous right-hand sides and time-varying delay is studied. It is assumed that the trivial solution of a system is asymptotically stable when delay is equal to zero. By the usage of the Lyapunov direct method and the Razumikhin approach, it is proved that the asymptotic stability of the zero solution of the system is preserved for an arbitrary continuous nonnegative and bounded delay. The conditions of stability of time-delay systems by homogeneous approximation are obtained. Furthermore, it is shown that the presented approaches permit to derive delay-independent stability conditions for some types of nonlinear systems with distributed delay. Two examples of nonlinear oscillatory systems are given to demonstrate the effectiveness of our results.
AbstractList A class of nonlinear systems with homogeneous right-hand sides and time-varying delay is studied. It is assumed that the trivial solution of a system is asymptotically stable when delay is equal to zero. By the usage of the Lyapunov direct method and the Razumikhin approach, it is proved that the asymptotic stability of the zero solution of the system is preserved for an arbitrary continuous nonnegative and bounded delay. The conditions of stability of time-delay systems by homogeneous approximation are obtained. Furthermore, it is shown that the presented approaches permit to derive delay-independent stability conditions for some types of nonlinear systems with distributed delay. Two examples of nonlinear oscillatory systems are given to demonstrate the effectiveness of our results.
Author Aleksandrov, A.Yu
Zhabko, A.P.
Author_xml – sequence: 1
  givenname: A.Yu
  orcidid: 0000-0001-7186-7996
  surname: Aleksandrov
  fullname: Aleksandrov, A.Yu
  email: alex43102006@yandex.ru, matanaliz123@yandex.ru
– sequence: 2
  givenname: A.P.
  surname: Zhabko
  fullname: Zhabko, A.P.
  email: zhabko@apmath.spbu.ru
BookMark eNp9kE9LxDAQxYOs4K76Abz16KV10jRtgidZ_8KCFz2HJJ1olrZZm67Qb2_W9SwMM_B4v2HmrchiCAMSckWhoEDrm22h-64ogVYFsCIpJ2RJRcNyXvFyQZYgJMtlzeUZWcW4BQAmmViS8h47Ped-aHGHqQ1TFidtfOenOQsu-wx9-MABwz5mcY4T9vGCnDrdRbz8m-fk_fHhbf2cb16fXtZ3m9yyhk25o8LyUkrjGqFbkC2r2qauZI11A844wKatjbDGlZqbxgrQFIWhycqNtJSdk-vj3t0YvvYYJ9X7aLHr9O85inJOIRXUyUqPVjuGGEd0ajf6Xo-zoqAO-aitSvmoQz4KmEpKYm6PDKYfvj2OKlqPg8XWj2gn1Qb_D_0DzGRvtQ
CitedBy_id crossref_primary_10_1088_1757_899X_537_4_042025
crossref_primary_10_1088_1757_899X_618_1_012069
crossref_primary_10_1080_00207179_2015_1032357
crossref_primary_10_1016_j_automatica_2024_111725
crossref_primary_10_1088_1757_899X_862_3_032024
crossref_primary_10_1109_TSMC_2022_3159552
crossref_primary_10_1016_j_ifacol_2023_10_1565
crossref_primary_10_1016_j_nahs_2021_101090
crossref_primary_10_1088_1757_899X_537_3_032036
crossref_primary_10_1088_1757_899X_537_6_062024
crossref_primary_10_1002_rnc_5684
crossref_primary_10_1088_1742_6596_1691_1_012061
crossref_primary_10_1088_1742_6596_1399_4_044047
crossref_primary_10_1088_1742_6596_1399_4_044045
crossref_primary_10_1088_1742_6596_1399_3_033032
crossref_primary_10_1088_1757_899X_537_4_042032
crossref_primary_10_1016_j_automatica_2023_111058
crossref_primary_10_1088_1742_6596_2094_2_022031
crossref_primary_10_1016_j_automatica_2020_109456
crossref_primary_10_1016_j_ifacol_2019_12_210
crossref_primary_10_1016_j_isatra_2022_01_001
crossref_primary_10_1016_j_sysconle_2024_105853
crossref_primary_10_1002_rnc_5115
crossref_primary_10_1080_00207179_2019_1597278
crossref_primary_10_1115_1_4035238
crossref_primary_10_1007_s11071_015_2265_0
crossref_primary_10_1137_20M1340447
Cites_doi 10.1134/S0037446612020218
10.1016/0167-6911(92)90078-7
10.1016/j.aml.2009.01.053
10.1016/j.jappmathmech.2010.11.005
10.1109/TAC.2010.2076334
10.1016/j.sysconle.2003.09.006
10.2172/792426
10.1016/S0167-6911(00)00093-1
10.1016/j.aml.2004.04.013
10.1016/S0167-6911(01)00108-6
10.1007/s00498-005-0151-x
10.1016/j.na.2011.06.023
10.1134/S0005117906090013
10.1016/j.jprocont.2009.03.001
10.1016/j.aml.2012.02.041
10.3182/20110828-6-IT-1002.03195
ContentType Journal Article
Copyright 2014 Elsevier Ltd
Copyright_xml – notice: 2014 Elsevier Ltd
DBID 6I.
AAFTH
AAYXX
CITATION
7SC
7TB
8FD
FR3
JQ2
KR7
L7M
L~C
L~D
DOI 10.1016/j.aml.2014.03.016
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
ProQuest Computer Science Collection
Civil Engineering Abstracts
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Civil Engineering Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Civil Engineering Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1873-5452
EndPage 50
ExternalDocumentID 10_1016_j_aml_2014_03_016
S0893965914000937
GroupedDBID --K
--M
.~1
0R~
1B1
1RT
1~.
1~5
23M
4.4
457
4G.
5GY
5VS
6I.
7-5
71M
8P~
9JN
AACTN
AAEDT
AAEDW
AAFTH
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
ABAOU
ABEFU
ABFNM
ABJNI
ABMAC
ABVKL
ABXDB
ABYKQ
ACAZW
ACDAQ
ACGFS
ACNNM
ACRLP
ADBBV
ADEZE
ADMUD
ADTZH
AEBSH
AECPX
AEKER
AENEX
AEXQZ
AFFNX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHJVU
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BJAXD
BKOJK
BLXMC
CS3
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HVGLF
HZ~
IHE
IXB
J1W
JJJVA
KOM
M26
M41
MHUIS
MO0
N9A
NCXOZ
O-L
O9-
OAUVE
OK1
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SPC
SPCBC
SST
SSW
SSZ
T5K
UHS
WUQ
XPP
ZMT
~G-
0SF
AAXKI
AAYXX
ADVLN
AFJKZ
AKRWK
CITATION
7SC
7TB
8FD
FR3
JQ2
KR7
L7M
L~C
L~D
ID FETCH-LOGICAL-c373t-f18c5299bf78ad09d34d76496e670fbf0e7d6b8cbf2a5b7c80a1e8b1d095b9c13
IEDL.DBID .~1
ISSN 0893-9659
IngestDate Fri Oct 25 01:57:58 EDT 2024
Thu Sep 26 17:47:53 EDT 2024
Fri Feb 23 02:27:12 EST 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Keywords Oscillatory systems
Asymptotic stability
Homogeneous systems
Time-delay
Lyapunov function
Language English
License http://www.elsevier.com/open-access/userlicense/1.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c373t-f18c5299bf78ad09d34d76496e670fbf0e7d6b8cbf2a5b7c80a1e8b1d095b9c13
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ORCID 0000-0001-7186-7996
OpenAccessLink https://www.sciencedirect.com/science/article/pii/S0893965914000937
PQID 1551051006
PQPubID 23500
PageCount 8
ParticipantIDs proquest_miscellaneous_1551051006
crossref_primary_10_1016_j_aml_2014_03_016
elsevier_sciencedirect_doi_10_1016_j_aml_2014_03_016
PublicationCentury 2000
PublicationDate 2014-08-01
PublicationDateYYYYMMDD 2014-08-01
PublicationDate_xml – month: 08
  year: 2014
  text: 2014-08-01
  day: 01
PublicationDecade 2010
PublicationTitle Applied mathematics letters
PublicationYear 2014
Publisher Elsevier Ltd
Publisher_xml – name: Elsevier Ltd
References Aleksandrov, Zhabko (br000080) 2006; 67
Rouche, Mawhin (br000105) 1980
Hale, Verduyn Lunel (br000010) 1993
Kuang (br000025) 1993
D. Efimov, W. Perruquetti, Homogeneity for time-delay systems, in: Preprints of the 18th IFAC World Congress, Milano, Italy, 2011, pp. 3861–3866.
Zubov (br000090) 1962
Gu, Kharitonov, Chen (br000005) 2003
Mazenc, Niculescu (br000055) 2001; 42
Aleksandrov, Kosov (br000115) 2010; 74
Chen, Lee (br000070) 2009; 19
.
Rosier (br000095) 1992; 19
Haddad, Chellaboina (br000020) 2004; 51
Bokharaie, Mason, Verwoerd (br000060) 2010; 55
Niculescu (br000015) 2001
Bhat, Bernstein (br000100) 2005; 17
Park, Hien (br000040) 2009; 22
Aleksandrov, Zhabko (br000085) 2012; 53
Park, Kwon (br000045) 2005; 18
Bokharaie, Mason, Wirth (br000075) 2011; 74
Ngoc (br000050) 2012; 25
Bliman (br000035) 2001; 43
R.F. Post, Stability Issues in Ambient-Temperature Passive Magnetic Bearing Systems. February 17, 2000. Lawrence Livermore National Laboratory. Technical Information Department’s Digital Library.
Rasvan (br000030) 2004
Bliman (10.1016/j.aml.2014.03.016_br000035) 2001; 43
Rasvan (10.1016/j.aml.2014.03.016_br000030) 2004
Rosier (10.1016/j.aml.2014.03.016_br000095) 1992; 19
Zubov (10.1016/j.aml.2014.03.016_br000090) 1962
Chen (10.1016/j.aml.2014.03.016_br000070) 2009; 19
Aleksandrov (10.1016/j.aml.2014.03.016_br000115) 2010; 74
Bokharaie (10.1016/j.aml.2014.03.016_br000075) 2011; 74
Aleksandrov (10.1016/j.aml.2014.03.016_br000080) 2006; 67
Rouche (10.1016/j.aml.2014.03.016_br000105) 1980
Kuang (10.1016/j.aml.2014.03.016_br000025) 1993
Bhat (10.1016/j.aml.2014.03.016_br000100) 2005; 17
Ngoc (10.1016/j.aml.2014.03.016_br000050) 2012; 25
Gu (10.1016/j.aml.2014.03.016_br000005) 2003
Hale (10.1016/j.aml.2014.03.016_br000010) 1993
Aleksandrov (10.1016/j.aml.2014.03.016_br000085) 2012; 53
Bokharaie (10.1016/j.aml.2014.03.016_br000060) 2010; 55
10.1016/j.aml.2014.03.016_br000065
Park (10.1016/j.aml.2014.03.016_br000045) 2005; 18
Haddad (10.1016/j.aml.2014.03.016_br000020) 2004; 51
10.1016/j.aml.2014.03.016_br000110
Niculescu (10.1016/j.aml.2014.03.016_br000015) 2001
Mazenc (10.1016/j.aml.2014.03.016_br000055) 2001; 42
Park (10.1016/j.aml.2014.03.016_br000040) 2009; 22
References_xml – year: 1980
  ident: br000105
  article-title: Ordinary Differential Equations: Stability and Periodic Solutions
  contributor:
    fullname: Mawhin
– year: 1993
  ident: br000010
  article-title: Introduction to Functional Differential Equations
  contributor:
    fullname: Verduyn Lunel
– year: 2001
  ident: br000015
  article-title: Delay Effects on Stability: A Robust Control Approach. Lecture Notes in Control and Information Science
  contributor:
    fullname: Niculescu
– volume: 17
  start-page: 101
  year: 2005
  end-page: 127
  ident: br000100
  article-title: Geometric homogeneity with applications to finite-time stability
  publication-title: Math. Control Signals Systems
  contributor:
    fullname: Bernstein
– volume: 74
  start-page: 6416
  year: 2011
  end-page: 6426
  ident: br000075
  article-title: Stability and positivity of equilibria for subhomogeneous cooperative systems
  publication-title: Nonlinear Analysis TMA
  contributor:
    fullname: Wirth
– volume: 25
  start-page: 1208
  year: 2012
  end-page: 1213
  ident: br000050
  article-title: On exponential stability of nonlinear differential systems with time-varying delay
  publication-title: Appl. Math. Lett.
  contributor:
    fullname: Ngoc
– volume: 67
  start-page: 1355
  year: 2006
  end-page: 1365
  ident: br000080
  article-title: On the stability of the solutions of a class of nonlinear delay systems
  publication-title: Autom. Remote Control
  contributor:
    fullname: Zhabko
– volume: 55
  start-page: 2882
  year: 2010
  end-page: 2885
  ident: br000060
  article-title: -stability and delay-independent stability of homogeneous cooperative systems
  publication-title: IEEE Trans. Automat. Control
  contributor:
    fullname: Verwoerd
– volume: 42
  start-page: 245
  year: 2001
  end-page: 251
  ident: br000055
  article-title: Lyapunov stability analysis for nonlinear delay systems
  publication-title: Systems Control Lett.
  contributor:
    fullname: Niculescu
– volume: 74
  start-page: 553
  year: 2010
  end-page: 562
  ident: br000115
  article-title: The stability and stabilization of non-linear, non-stationary mechanical systems
  publication-title: J. Appl. Math. Mech.
  contributor:
    fullname: Kosov
– volume: 53
  start-page: 393
  year: 2012
  end-page: 403
  ident: br000085
  article-title: On the asymptotic stability of solutions of nonlinear systems with delay
  publication-title: Sib. Math. J.
  contributor:
    fullname: Zhabko
– year: 1993
  ident: br000025
  article-title: Delay Differential Equations with Applications in Population Dynamics
  contributor:
    fullname: Kuang
– volume: 18
  start-page: 683
  year: 2005
  end-page: 688
  ident: br000045
  article-title: Novel stabiliti criterion of time-delay systems with nonlinear uncertainties
  publication-title: Appl. Math. Lett.
  contributor:
    fullname: Kwon
– volume: 19
  start-page: 467
  year: 1992
  end-page: 473
  ident: br000095
  article-title: Homogeneous Lyapunov function for homogeneous continuous vector field
  publication-title: Systems Control Lett.
  contributor:
    fullname: Rosier
– start-page: 212
  year: 2004
  end-page: 220
  ident: br000030
  article-title: Delay independent and delay dependent Aizerman problem
  publication-title: Unsolved Problems in Mathematical Systems and Control Theory
  contributor:
    fullname: Rasvan
– volume: 43
  start-page: 263
  year: 2001
  end-page: 274
  ident: br000035
  article-title: LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov–Krasovskii functionals
  publication-title: Systems Control Lett.
  contributor:
    fullname: Bliman
– volume: 22
  start-page: 1412
  year: 2009
  end-page: 1417
  ident: br000040
  article-title: An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay
  publication-title: Appl. Math. Lett.
  contributor:
    fullname: Hien
– year: 2003
  ident: br000005
  article-title: Stability of Time-delay Systems
  contributor:
    fullname: Chen
– volume: 19
  start-page: 1082
  year: 2009
  end-page: 1090
  ident: br000070
  article-title: Robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties
  publication-title: J. Process Control
  contributor:
    fullname: Lee
– volume: 51
  start-page: 355
  year: 2004
  end-page: 361
  ident: br000020
  article-title: Stability theory for nonnegative and compartmental dynamical systems with time delay
  publication-title: Systems Control Lett.
  contributor:
    fullname: Chellaboina
– year: 1962
  ident: br000090
  article-title: Mathematical Methods for the Study of Automatical Control Systems
  contributor:
    fullname: Zubov
– year: 1993
  ident: 10.1016/j.aml.2014.03.016_br000025
  contributor:
    fullname: Kuang
– start-page: 212
  year: 2004
  ident: 10.1016/j.aml.2014.03.016_br000030
  article-title: Delay independent and delay dependent Aizerman problem
  contributor:
    fullname: Rasvan
– volume: 53
  start-page: 393
  year: 2012
  ident: 10.1016/j.aml.2014.03.016_br000085
  article-title: On the asymptotic stability of solutions of nonlinear systems with delay
  publication-title: Sib. Math. J.
  doi: 10.1134/S0037446612020218
  contributor:
    fullname: Aleksandrov
– volume: 19
  start-page: 467
  year: 1992
  ident: 10.1016/j.aml.2014.03.016_br000095
  article-title: Homogeneous Lyapunov function for homogeneous continuous vector field
  publication-title: Systems Control Lett.
  doi: 10.1016/0167-6911(92)90078-7
  contributor:
    fullname: Rosier
– volume: 22
  start-page: 1412
  year: 2009
  ident: 10.1016/j.aml.2014.03.016_br000040
  article-title: An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay
  publication-title: Appl. Math. Lett.
  doi: 10.1016/j.aml.2009.01.053
  contributor:
    fullname: Park
– year: 2003
  ident: 10.1016/j.aml.2014.03.016_br000005
  contributor:
    fullname: Gu
– volume: 74
  start-page: 553
  year: 2010
  ident: 10.1016/j.aml.2014.03.016_br000115
  article-title: The stability and stabilization of non-linear, non-stationary mechanical systems
  publication-title: J. Appl. Math. Mech.
  doi: 10.1016/j.jappmathmech.2010.11.005
  contributor:
    fullname: Aleksandrov
– volume: 55
  start-page: 2882
  year: 2010
  ident: 10.1016/j.aml.2014.03.016_br000060
  article-title: D-stability and delay-independent stability of homogeneous cooperative systems
  publication-title: IEEE Trans. Automat. Control
  doi: 10.1109/TAC.2010.2076334
  contributor:
    fullname: Bokharaie
– volume: 51
  start-page: 355
  year: 2004
  ident: 10.1016/j.aml.2014.03.016_br000020
  article-title: Stability theory for nonnegative and compartmental dynamical systems with time delay
  publication-title: Systems Control Lett.
  doi: 10.1016/j.sysconle.2003.09.006
  contributor:
    fullname: Haddad
– year: 2001
  ident: 10.1016/j.aml.2014.03.016_br000015
  contributor:
    fullname: Niculescu
– ident: 10.1016/j.aml.2014.03.016_br000110
  doi: 10.2172/792426
– volume: 42
  start-page: 245
  year: 2001
  ident: 10.1016/j.aml.2014.03.016_br000055
  article-title: Lyapunov stability analysis for nonlinear delay systems
  publication-title: Systems Control Lett.
  doi: 10.1016/S0167-6911(00)00093-1
  contributor:
    fullname: Mazenc
– year: 1993
  ident: 10.1016/j.aml.2014.03.016_br000010
  contributor:
    fullname: Hale
– volume: 18
  start-page: 683
  year: 2005
  ident: 10.1016/j.aml.2014.03.016_br000045
  article-title: Novel stabiliti criterion of time-delay systems with nonlinear uncertainties
  publication-title: Appl. Math. Lett.
  doi: 10.1016/j.aml.2004.04.013
  contributor:
    fullname: Park
– volume: 43
  start-page: 263
  year: 2001
  ident: 10.1016/j.aml.2014.03.016_br000035
  article-title: LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov–Krasovskii functionals
  publication-title: Systems Control Lett.
  doi: 10.1016/S0167-6911(01)00108-6
  contributor:
    fullname: Bliman
– volume: 17
  start-page: 101
  year: 2005
  ident: 10.1016/j.aml.2014.03.016_br000100
  article-title: Geometric homogeneity with applications to finite-time stability
  publication-title: Math. Control Signals Systems
  doi: 10.1007/s00498-005-0151-x
  contributor:
    fullname: Bhat
– volume: 74
  start-page: 6416
  year: 2011
  ident: 10.1016/j.aml.2014.03.016_br000075
  article-title: Stability and positivity of equilibria for subhomogeneous cooperative systems
  publication-title: Nonlinear Analysis TMA
  doi: 10.1016/j.na.2011.06.023
  contributor:
    fullname: Bokharaie
– volume: 67
  start-page: 1355
  year: 2006
  ident: 10.1016/j.aml.2014.03.016_br000080
  article-title: On the stability of the solutions of a class of nonlinear delay systems
  publication-title: Autom. Remote Control
  doi: 10.1134/S0005117906090013
  contributor:
    fullname: Aleksandrov
– year: 1980
  ident: 10.1016/j.aml.2014.03.016_br000105
  contributor:
    fullname: Rouche
– year: 1962
  ident: 10.1016/j.aml.2014.03.016_br000090
  contributor:
    fullname: Zubov
– volume: 19
  start-page: 1082
  year: 2009
  ident: 10.1016/j.aml.2014.03.016_br000070
  article-title: Robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties
  publication-title: J. Process Control
  doi: 10.1016/j.jprocont.2009.03.001
  contributor:
    fullname: Chen
– volume: 25
  start-page: 1208
  year: 2012
  ident: 10.1016/j.aml.2014.03.016_br000050
  article-title: On exponential stability of nonlinear differential systems with time-varying delay
  publication-title: Appl. Math. Lett.
  doi: 10.1016/j.aml.2012.02.041
  contributor:
    fullname: Ngoc
– ident: 10.1016/j.aml.2014.03.016_br000065
  doi: 10.3182/20110828-6-IT-1002.03195
SSID ssj0003938
Score 2.284932
Snippet A class of nonlinear systems with homogeneous right-hand sides and time-varying delay is studied. It is assumed that the trivial solution of a system is...
SourceID proquest
crossref
elsevier
SourceType Aggregation Database
Publisher
StartPage 43
SubjectTerms Approximation
Asymptotic properties
Asymptotic stability
Delay
Dynamical systems
Homogeneous systems
Lyapunov function
Mathematical analysis
Nonlinear dynamics
Nonlinearity
Oscillatory systems
Stability
Time-delay
Title Delay-independent stability of homogeneous systems
URI https://dx.doi.org/10.1016/j.aml.2014.03.016
https://search.proquest.com/docview/1551051006
Volume 34
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELaqssCAeIryqILEhBTqxE7sjG2haintAkXdLDuxRRFtKhqGLvx2znmAQIiBKcrJiaLPl_vu5HsgdGGoDhjsu2sSzF2qNXGjgMGPR30G_OInXNva4dE47E_o7TSY1lC3qoWxaZWl7S9sem6tS0mrRLO1nM1a9xio1rbDgxDBxuW2opwC_YFOX71_pXmQKJ9mbRe7dnV1spnneMm5PX3waN7n1I48_52bfljpnHp6O2i79BmddvFZu6imF3toa_TZcHW1j_xr_SLX7uxzqG3mgNuXJ76undQ4T-k8BVXREOc7RfPm1QGa9G4eun23HIfgxoSRzDUejwNgD2UYlwmOEkITFtIo1CHDRhmsWRIqHivjy0CxmGPpaa48WBqoKPbIIaov0oU-Qk7scaypNlQFhPpSQxjDqZHATIwrGnsNdFkBIZZF1wtRpYM9C0BNWNQEJgIkDUQrqMS3rRNglf967LyCVYBK23MKmcMgrBdnbQUOj__36hO0ae-KPL1TVM9e3_QZ-A6ZaubK0UQb7c7j8M5eB8P-GKSDaecDRu3FDw
link.rule.ids 315,783,787,3513,4509,24128,27581,27936,27937,45597,45675,45691,45886
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELZKOwAD4inKM0hMSFGd2ImdsSpUKX0stFI3y05sUUQfomHov-ecRyUQYmB1bCv6fP7uTne-Q-jeUB0wOHfXpJi7VGviRgGDi0d9BvrFT7m2b4eHozCe0OdpMK2hTvUWxqZVltxfcHrO1uVIq0SztZrNWi8YVK0thwcugvXL2Q5qgDUQwe1stHv9eLQlZBLlDa3tfNcuqIKbeZqXnNsAhEfzUqe26_nv6ukHUefap3uIDkqz0WkXf3aEanpxjPaH25qr6xPkP-p3uXFn2762mQOWX577unGWxnldzpcgLRpcfaeo37w-RZPu07gTu2VHBDchjGSu8XgSgAJRhnGZ4iglNGUhjUIdMmyUwZqloeKJMr4MFEs4lp7myoOpgYoSj5yh-mK50OfISTyONdWGqoBQX2rwZDg1EpQT44omXhM9VECIVVH4QlQZYW8CUBMWNYGJgJEmohVU4tvpCSDmv5bdVbAKkGobqpA5DMIacpYucHjxv61v0W48Hg7EoDfqX6I9-6VI27tC9ezjU1-DKZGpm1JUvgBbRsUs
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=Delay-independent+stability+of+homogeneous+systems&rft.jtitle=Applied+mathematics+letters&rft.au=Aleksandrov%2C+AYu&rft.au=Zhabko%2C+AP&rft.date=2014-08-01&rft.issn=0893-9659&rft.volume=34&rft.spage=43&rft.epage=50&rft_id=info:doi/10.1016%2Fj.aml.2014.03.016&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0893-9659&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0893-9659&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0893-9659&client=summon