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Article: Lyapunov formulation of the ISS cyclic-small-gain theorem for hybrid dynamical networks

TitleLyapunov formulation of the ISS cyclic-small-gain theorem for hybrid dynamical networks
Authors
KeywordsDynamical Networks
Hybrid Nonlinear Systems
Input-To-State Stability
Lyapunov Function
Small-Gain
Issue Date2012
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/wps/product/cws_home/709918
Citation
Nonlinear Analysis: Hybrid Systems, 2012, v. 6 n. 4, p. 988-1001 How to Cite?
AbstractThis paper presents a Lyapunov-based cyclic-small-gain theorem for the hybrid dynamical networks composed of input-to-state stable (ISS) subsystems whose motions may be continuous, impulsive or piecewise constant on the time-line. On the one hand, it is shown that hybrid dynamic networks with interconnection gains less than the identity function are ISS by means of Lyapunov functions. Additionally, an ISS-Lyapunov function for the total network is constructed using the ISS-Lyapunov functions of the subsystems. On the other hand, a novel result of this paper shows that a hybrid dynamic network satisfying the cyclic-small-gain condition can be transformed into one with interconnection gains less than the identity. In sharp contrast with several previously known results, the impulses of the subsystems are time triggered and the impulsive times for different subsystems may be different. © 2012 Elsevier Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/169738
ISSN
2015 Impact Factor: 3.192
2015 SCImago Journal Rankings: 1.994
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, Ten_US
dc.contributor.authorJiang, ZPen_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:54:31Z-
dc.date.available2012-10-25T04:54:31Z-
dc.date.issued2012en_US
dc.identifier.citationNonlinear Analysis: Hybrid Systems, 2012, v. 6 n. 4, p. 988-1001en_US
dc.identifier.issn1751-570Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/169738-
dc.description.abstractThis paper presents a Lyapunov-based cyclic-small-gain theorem for the hybrid dynamical networks composed of input-to-state stable (ISS) subsystems whose motions may be continuous, impulsive or piecewise constant on the time-line. On the one hand, it is shown that hybrid dynamic networks with interconnection gains less than the identity function are ISS by means of Lyapunov functions. Additionally, an ISS-Lyapunov function for the total network is constructed using the ISS-Lyapunov functions of the subsystems. On the other hand, a novel result of this paper shows that a hybrid dynamic network satisfying the cyclic-small-gain condition can be transformed into one with interconnection gains less than the identity. In sharp contrast with several previously known results, the impulses of the subsystems are time triggered and the impulsive times for different subsystems may be different. © 2012 Elsevier Ltd.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.subjectDynamical Networksen_US
dc.subjectHybrid Nonlinear Systemsen_US
dc.subjectInput-To-State Stabilityen_US
dc.subjectLyapunov Functionen_US
dc.subjectSmall-Gainen_US
dc.titleLyapunov formulation of the ISS cyclic-small-gain theorem for hybrid dynamical networksen_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.2012.07.002en_US
dc.identifier.scopuseid_2-s2.0-84864802317en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84864802317&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume6en_US
dc.identifier.issue4en_US
dc.identifier.spage988en_US
dc.identifier.epage1001en_US
dc.identifier.isiWOS:000309198600007-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLiu, T=8656182400en_US
dc.identifier.scopusauthoridJiang, ZP=7404279463en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US

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