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Article: Input-to-state exponents and related ISS for delayed discrete-time systems with application to impulsive effects

TitleInput-to-state exponents and related ISS for delayed discrete-time systems with application to impulsive effects
Authors
KeywordsDelayed discrete-time system (DDS)
Input-to-state exponent (IS-e)
Input-to-state stability (ISS)
Time delay
Uniform M-matrix
Issue Date2018
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510
Citation
International Journal of Robust and Nonlinear Control, 2018, v. 28 n. 2, p. 640-660 How to Cite?
AbstractThis paper aims to investigate the input-to-state exponents (IS-e) and the related input-to-state stability (ISS) for delayed discrete-time systems (DDSs). By using the method of variation of parameters and introducing notions of uniform and weak uniform M-matrix, the estimates for 3 kinds of IS-e are derived for time-varying DDSs. The exponential ISS conditions with parts suitable for infinite delays are thus established, by which the difference from the time-invariant case is shown. The exponential stability of a time-varying DDS with zero external input cannot guarantee its ISS. Moreover, based on the IS-e estimates for DDSs, the exponential ISS under events criteria for DDSs with impulsive effects are obtained. The results are then applied in 1 example to test synchronization in the sense of ISS for a delayed discrete-time network, where the impulsive control is designed to stabilize such an asynchronous network to the synchronization.
Persistent Identifierhttp://hdl.handle.net/10722/263248
ISSN
2017 Impact Factor: 3.856
2015 SCImago Journal Rankings: 2.134
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLiu, B-
dc.contributor.authorHill, DJ-
dc.contributor.authorSun, Z-
dc.date.accessioned2018-10-22T07:35:52Z-
dc.date.available2018-10-22T07:35:52Z-
dc.date.issued2018-
dc.identifier.citationInternational Journal of Robust and Nonlinear Control, 2018, v. 28 n. 2, p. 640-660-
dc.identifier.issn1049-8923-
dc.identifier.urihttp://hdl.handle.net/10722/263248-
dc.description.abstractThis paper aims to investigate the input-to-state exponents (IS-e) and the related input-to-state stability (ISS) for delayed discrete-time systems (DDSs). By using the method of variation of parameters and introducing notions of uniform and weak uniform M-matrix, the estimates for 3 kinds of IS-e are derived for time-varying DDSs. The exponential ISS conditions with parts suitable for infinite delays are thus established, by which the difference from the time-invariant case is shown. The exponential stability of a time-varying DDS with zero external input cannot guarantee its ISS. Moreover, based on the IS-e estimates for DDSs, the exponential ISS under events criteria for DDSs with impulsive effects are obtained. The results are then applied in 1 example to test synchronization in the sense of ISS for a delayed discrete-time network, where the impulsive control is designed to stabilize such an asynchronous network to the synchronization.-
dc.languageeng-
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510-
dc.relation.ispartofInternational Journal of Robust and Nonlinear Control-
dc.subjectDelayed discrete-time system (DDS)-
dc.subjectInput-to-state exponent (IS-e)-
dc.subjectInput-to-state stability (ISS)-
dc.subjectTime delay-
dc.subjectUniform M-matrix-
dc.titleInput-to-state exponents and related ISS for delayed discrete-time systems with application to impulsive effects-
dc.typeArticle-
dc.identifier.emailHill, DJ: dhill@eee.hku.hk-
dc.identifier.authorityHill, DJ=rp01669-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/rnc.3891-
dc.identifier.scopuseid_2-s2.0-85038814604-
dc.identifier.hkuros293631-
dc.identifier.volume28-
dc.identifier.issue2-
dc.identifier.spage640-
dc.identifier.epage660-
dc.identifier.isiWOS:000418409100017-
dc.publisher.placeUnited Kingdom-

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