Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming

dc.contributor.authorHuang, Shoudong
dc.contributor.authorJames, Matthew
dc.contributor.authorNesic, Dragan
dc.contributor.authorDower, Peter M
dc.date.accessioned2015-12-13T22:51:56Z
dc.date.issued2005
dc.date.updated2015-12-11T10:47:56Z
dc.description.abstractThe input-to-state stability (ISS) property for systems with disturbances has received considerable attention over the past decade or so, with many applications and characterizations reported in the literature. The main purpose of this paper is to present analysis results for ISS that utilize dynamic programming techniques to characterize minimal ISS gains and transient bounds. These characterizations naturally lead to computable necessary and sufficient conditions for ISS. Our results make a connection between ISS and optimization problems in nonlinear dissipative systems theory (including L2-gain analysis and nonlinear H∞ theory). As such, the results presented address an obvious gap in the literature.
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/81314
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.subjectKeywords: Disturbances; Input-to-state stability; Nonlinear dissipative systems theory; Stability analysis; Discrete time control systems; Dynamic programming; Optimization; Problem solving; Transients; Nonlinear systems Disturbances; Dynamic programming; Input-to-state stability; Nonlinear systems; Stability analysis
dc.titleAnalysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
dc.typeJournal article
local.bibliographicCitation.issue12
local.bibliographicCitation.lastpage2065
local.bibliographicCitation.startpage2055
local.contributor.affiliationHuang, Shoudong, University of Technology Sydney
local.contributor.affiliationJames, Matthew, College of Engineering and Computer Science, ANU
local.contributor.affiliationNesic, Dragan, University of Melbourne
local.contributor.affiliationDower, Peter M, University of Melbourne
local.contributor.authoremailu9109947@anu.edu.au
local.contributor.authoruidJames, Matthew, u9109947
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationMigratedxPub9632
local.identifier.citationvolume41
local.identifier.doi10.1016/j.automatica.2005.07.005
local.identifier.scopusID2-s2.0-27344457768
local.identifier.uidSubmittedByMigrated
local.type.statusPublished Version

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