File Download
  • No File Attached
 
Links for fulltext
(May Require Subscription)
 
Supplementary

Article: Absolute exponential stability criteria for a class of nonlinear time-delay systems
  • Basic View
  • Metadata View
  • XML View
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
2013 Impact Factor: 2.338
2013 SCImago Journal Rankings: 2.285
 
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 FieldValue
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.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
2013 Impact Factor: 2.338
2013 SCImago Journal Rankings: 2.285
 
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.projectDecay rate estimation and synthesis of functional differential systems via semi-definite programming
 
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
 
<?xml encoding="utf-8" version="1.0"?>
<item><contributor.author>Zhang, B</contributor.author>
<contributor.author>Lam, J</contributor.author>
<contributor.author>Xu, S</contributor.author>
<contributor.author>Shu, Z</contributor.author>
<date.accessioned>2010-10-31T10:59:12Z</date.accessioned>
<date.available>2010-10-31T10:59:12Z</date.available>
<date.issued>2010</date.issued>
<identifier.citation>Nonlinear Analysis: Real World Applications, 2010, v. 11 n. 3, p. 1963-1976</identifier.citation>
<identifier.issn>1468-1218</identifier.issn>
<identifier.uri>http://hdl.handle.net/10722/124879</identifier.uri>
<description.abstract>This 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. &#169; 2009 Elsevier Ltd. All rights reserved.</description.abstract>
<language>eng</language>
<publisher>Elsevier Ltd. The Journal&apos;s web site is located at http://www.elsevier.com/locate/nonrwa</publisher>
<relation.ispartof>Nonlinear Analysis: Real World Applications</relation.ispartof>
<subject>Absolute stability</subject>
<subject>Exponential stability</subject>
<subject>Nonlinear systems</subject>
<subject>Sector condition</subject>
<subject>Time delay</subject>
<title>Absolute exponential stability criteria for a class of nonlinear time-delay systems</title>
<type>Article</type>
<identifier.openurl>http://library.hku.hk:4550/resserv?sid=HKU:IR&amp;issn=1468-1218&amp;volume=11&amp;issue=3&amp;spage=1963&amp;epage=1976&amp;date=2010&amp;atitle=Absolute+exponential+stability+criteria+for+a+class+of+nonlinear+time-delay+systems</identifier.openurl>
<description.nature>Link_to_subscribed_fulltext</description.nature>
<identifier.doi>10.1016/j.nonrwa.2009.04.018</identifier.doi>
<identifier.scopus>eid_2-s2.0-77950916889</identifier.scopus>
<identifier.hkuros>179621</identifier.hkuros>
<relation.references>http://www.scopus.com/mlt/select.url?eid=2-s2.0-77950916889&amp;selection=ref&amp;src=s&amp;origin=recordpage</relation.references>
<identifier.volume>11</identifier.volume>
<identifier.issue>3</identifier.issue>
<identifier.spage>1963</identifier.spage>
<identifier.epage>1976</identifier.epage>
<identifier.isi>WOS:000278768800070</identifier.isi>
<publisher.place>United Kingdom</publisher.place>
<relation.project>Decay rate estimation and synthesis of functional differential systems via semi-definite programming</relation.project>
<identifier.citeulike>5256249</identifier.citeulike>
</item>
Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Science and Technology