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Article: Uniform stability and ISS of discrete-time impulsive hybrid systems

TitleUniform stability and ISS of discrete-time impulsive hybrid systems
Authors
KeywordsComparison Principle
Dihs (Discrete-Time Impulsive Hybrid System)
Dwell Time
Iss
Uniform Stability
Issue Date2010
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/wps/product/cws_home/709918
Citation
Nonlinear Analysis: Hybrid Systems, 2010, v. 4 n. 2, p. 319-333 How to Cite?
AbstractThis paper studies the uniform stability and ISS (input-to-state stability) properties for DIHS (discrete-time impulsive hybrid systems) via comparison approach. By employing the vector-value function, the comparison principle is established for DIHS with external inputs. Then the comparison principle is used to establish the uniform stability and ISS criteria for DIHS, respectively. Moreover, regions in which the uniform stability and ISS properties can be guaranteed are estimated. As applications, the comparison principle and the results of uniform stability and ISS are used to study the robustly globally uniformly exponential stability for uncertain DIHS and exponential ISS of DIHS. It is shown that impulses contribute to stability and ISS properties for a discrete-time system which has no such properties. Two examples with numerical simulations are worked out for illustration. © 2009 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/169724
ISSN
2015 Impact Factor: 3.192
2015 SCImago Journal Rankings: 1.994
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, Ben_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:54:27Z-
dc.date.available2012-10-25T04:54:27Z-
dc.date.issued2010en_US
dc.identifier.citationNonlinear Analysis: Hybrid Systems, 2010, v. 4 n. 2, p. 319-333en_US
dc.identifier.issn1751-570Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/169724-
dc.description.abstractThis paper studies the uniform stability and ISS (input-to-state stability) properties for DIHS (discrete-time impulsive hybrid systems) via comparison approach. By employing the vector-value function, the comparison principle is established for DIHS with external inputs. Then the comparison principle is used to establish the uniform stability and ISS criteria for DIHS, respectively. Moreover, regions in which the uniform stability and ISS properties can be guaranteed are estimated. As applications, the comparison principle and the results of uniform stability and ISS are used to study the robustly globally uniformly exponential stability for uncertain DIHS and exponential ISS of DIHS. It is shown that impulses contribute to stability and ISS properties for a discrete-time system which has no such properties. Two examples with numerical simulations are worked out for illustration. © 2009 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/wps/product/cws_home/709918en_US
dc.relation.ispartofNonlinear Analysis: Hybrid Systemsen_US
dc.subjectComparison Principleen_US
dc.subjectDihs (Discrete-Time Impulsive Hybrid System)en_US
dc.subjectDwell Timeen_US
dc.subjectIssen_US
dc.subjectUniform Stabilityen_US
dc.titleUniform stability and ISS of discrete-time impulsive hybrid systemsen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.nahs.2009.05.002en_US
dc.identifier.scopuseid_2-s2.0-77949657899en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77949657899&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume4en_US
dc.identifier.issue2en_US
dc.identifier.spage319en_US
dc.identifier.epage333en_US
dc.identifier.isiWOS:000208285500009-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLiu, B=36079151900en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US

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