A study of the generalized input-to-state ℒ2-gain of discrete-time switched linear systems

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dc.contributor.authorPutta, Vamsi
dc.contributor.authorZhu, Guangwei
dc.contributor.authorShen, Jinglai
dc.contributor.authorHu, Jianghai
dc.date.accessioned2024-08-27T20:37:38Z
dc.date.available2024-08-27T20:37:38Z
dc.date.issued2012-03-01
dc.description2011 50th IEEE Conference on Decision and Control and European Control Conference, 12-15 December 2011, Orlando, FL, USA
dc.description.abstractA generalized notion of the input-to-state L2-gains of discrete-time switched linear systems is proposed in this paper. Such gains are then characterized using the radii of convergence of a family of suitably defined functions called the generating functions. Properties of the generating functions are studied and their numerical computation algorithms are developed. Some numerical examples are presented.
dc.description.sponsorshipThis work was partially supported by the NSF under Grant CNS-0643805. This research was supported by the NSF under grant ECCS-0900960
dc.description.urihttps://ieeexplore.ieee.org/document/6161432
dc.format.extent6 pages
dc.genreconference papers and proceedings
dc.genrepreprints
dc.identifierdoi:10.13016/m2pc7x-yb08
dc.identifier.citationPutta, Vamsi, Guangwei Zhu, Jinglai Shen, and Jianghai Hu. “A Study of the Generalized Input-to-State ℒ2-Gain of Discrete-Time Switched Linear Systems.” In 2011 50th IEEE Conference on Decision and Control and European Control Conference, 435–40, 2011. https://doi.org/10.1109/CDC.2011.6161432.
dc.identifier.urihttps://doi.org/10.1109/CDC.2011.6161432
dc.identifier.urihttp://hdl.handle.net/11603/35755
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© 2011 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.subjectApproximation algorithms
dc.subjectConvergence
dc.subjectEquations
dc.subjectLinear systems
dc.subjectStability analysis
dc.subjectSwitches
dc.titleA study of the generalized input-to-state ℒ2-gain of discrete-time switched linear systems
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-2172-4182

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