Stability of discrete-time conewise linear inclusions and switched linear systems

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dc.contributor.authorShen, Jinglai
dc.contributor.authorHu, Jianghai
dc.date.accessioned2024-08-27T20:37:42Z
dc.date.available2024-08-27T20:37:42Z
dc.date.issued2010-07-29
dc.descriptionProceedings of the 2010 American Control Conference, 30 June 2010 - 02 July 2010, Baltimore, MD, USA
dc.description.abstractThis paper addresses the stability of discrete-time conewise linear inclusions (CLIs) and its connection with that of switched linear systems (SLSs). The CLIs form a class of switched linear systems subject to state dependent switchings. Strong and weak stability concepts of the CLIs are considered and the equivalence of asymptotic and exponential stability is established. To characterize stability of the CLIs, a Lyapunov framework is developed and a converse Lyapunov theorem is obtained. Furthermore, stability of general SLSs is studied and is shown to be closely related to that of the CLIs through a family of properly defined generating functions.
dc.description.sponsorshipThis research was partially supported by the NSF grant ECCS-0900960
dc.description.urihttps://ieeexplore.ieee.org/document/5530494
dc.format.extent6 pages
dc.genreconference papers and proceedings
dc.genrepreprints
dc.identifierdoi:10.13016/m2oaio-ab1m
dc.identifier.citationShen, Jinglai, and Jianghai Hu. “Stability of Discrete-Time Conewise Linear Inclusions and Switched Linear Systems.” In Proceedings of the 2010 American Control Conference, 4034–39, 2010. https://doi.org/10.1109/ACC.2010.5530494.
dc.identifier.urihttps://doi.org/10.1109/ACC.2010.5530494
dc.identifier.urihttp://hdl.handle.net/11603/35760
dc.language.isoen_US
dc.publisherIEEE
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Mathematics and Statistics Department
dc.rights© 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
dc.subjectAsymptotic stability
dc.subjectControl systems
dc.subjectLarge-scale systems
dc.subjectLinear systems
dc.subjectLyapunov method
dc.subjectRobots
dc.subjectStability analysis
dc.subjectStability criteria
dc.subjectSwitched systems
dc.subjectUtility programs
dc.titleStability of discrete-time conewise linear inclusions and switched linear systems
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-2172-4182

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