Article: Absolute exponential stability criteria for a class of nonlinear time-delay systems

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TitleAbsolute exponential stability criteria for a class of nonlinear time-delay systems
AuthorsZhang, B2
Lam, J1
Xu, S2
Shu, Z1
KeywordsAbsolute stability
Exponential stability
Nonlinear systems
Sector condition
Time delay
Issue Date2010
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/nonrwa
CitationNonlinear Analysis: Real World Applications, 2010, v. 11 n. 3, p. 1963-1976 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.nonrwa.2009.04.018
AbstractThis paper is concerned with the problem of absolute exponential stability analysis for a class of continuous-time systems with sector-bounded nonlinearities and interval time-varying delays. Absolute exponential stability criteria, which depend not only on the delay range but also on the decay rate, are derived by using a novel Lyapunov functional. These criteria are expressed in the form of linear matrix inequalities (LMIs) and they can easily be checked. By solving these LMIs, estimates of the exponential decay rate and decay coefficient are obtained. A numerical example is provided to demonstrate the effectiveness of the proposed method. © 2009 Elsevier Ltd. All rights reserved.
ISSN1468-1218
2011 Impact Factor: 2.043
2011 SCImago Journal Rankings: 0.085
DOIhttp://dx.doi.org/10.1016/j.nonrwa.2009.04.018
ISI Accession Number IDWOS:000278768800070
Funding AgencyGrant Number
RGCHKU 7031/06P
National Science Foundation for Distinguished Young Scholars of PR China60625303
Specialized Research Fund for the Doctoral Program of Higher Education20060288021
National Natural Science Foundation of PR China60850005
Natural Science Foundation of Jiangsu ProvinceBK2008047
Research Innovation Program for Graduate Students in Jiangsu ProvinceCX07B_114z
Funding Information:

This work was supported in part by RGC HKU 7031/06P, the National Science Foundation for Distinguished Young Scholars of PR China under Grant 60625303, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20060288021, the National Natural Science Foundation of PR China under Grant 60850005, the Natural Science Foundation of Jiangsu Province under Grant BK2008047, and the Research Innovation Program for Graduate Students in Jiangsu Province under Grant CX07B_114z

ReferencesReferences in Scopus
GrantsDecay rate estimation and synthesis of functional differential systems via semi-definite programming
DC Field
Value
dc.contributor.authorZhang, B
dc.contributor.authorLam, J
dc.contributor.authorXu, S
dc.contributor.authorShu, Z
dc.date.accessioned2010-10-31T10:59:12Z
dc.date.available2010-10-31T10:59:12Z
dc.date.issued2010
dc.description.abstractThis paper is concerned with the problem of absolute exponential stability analysis for a class of continuous-time systems with sector-bounded nonlinearities and interval time-varying delays. Absolute exponential stability criteria, which depend not only on the delay range but also on the decay rate, are derived by using a novel Lyapunov functional. These criteria are expressed in the form of linear matrix inequalities (LMIs) and they can easily be checked. By solving these LMIs, estimates of the exponential decay rate and decay coefficient are obtained. A numerical example is provided to demonstrate the effectiveness of the proposed method. © 2009 Elsevier Ltd. All rights reserved.
dc.description.grantDecay rate estimation and synthesis of functional differential systems via semi-definite programming
dc.description.grantcode82648
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationNonlinear Analysis: Real World Applications, 2010, v. 11 n. 3, p. 1963-1976 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.nonrwa.2009.04.018
dc.identifier.citeulike5256249
dc.identifier.doihttp://dx.doi.org/10.1016/j.nonrwa.2009.04.018
dc.identifier.epage1976
dc.identifier.hkuros179621
dc.identifier.isiWOS:000278768800070
Funding AgencyGrant Number
RGCHKU 7031/06P
National Science Foundation for Distinguished Young Scholars of PR China60625303
Specialized Research Fund for the Doctoral Program of Higher Education20060288021
National Natural Science Foundation of PR China60850005
Natural Science Foundation of Jiangsu ProvinceBK2008047
Research Innovation Program for Graduate Students in Jiangsu ProvinceCX07B_114z
Funding Information:

This work was supported in part by RGC HKU 7031/06P, the National Science Foundation for Distinguished Young Scholars of PR China under Grant 60625303, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20060288021, the National Natural Science Foundation of PR China under Grant 60850005, the Natural Science Foundation of Jiangsu Province under Grant BK2008047, and the Research Innovation Program for Graduate Students in Jiangsu Province under Grant CX07B_114z

dc.identifier.issn1468-1218
2011 Impact Factor: 2.043
2011 SCImago Journal Rankings: 0.085
dc.identifier.issue3
dc.identifier.openurl
dc.identifier.scopuseid_2-s2.0-77950916889
dc.identifier.spage1963
dc.identifier.urihttp://hdl.handle.net/10722/124879
dc.identifier.volume11
dc.languageeng
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/nonrwa
dc.publisher.placeUnited Kingdom
dc.relation.ispartofNonlinear Analysis: Real World Applications
dc.relation.referencesReferences in Scopus
dc.subjectAbsolute stability
dc.subjectExponential stability
dc.subjectNonlinear systems
dc.subjectSector condition
dc.subjectTime delay
dc.titleAbsolute exponential stability criteria for a class of nonlinear time-delay systems
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Science and Technology