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

Huang, S; James, MR; Nešić, D; Dower, PM

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

Huang, S

James, MR Nešić, D Dower, PM

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Publication Type:: Journal Article
Citation:: Automatica, 2005, 41 (12), pp. 2055 - 2065
Issue Date:: 2005-12-01

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Field	Value	Language
dc.contributor.author	Huang, S https://orcid.org/0000-0002-6124-4178	en_US
dc.contributor.author	James, MR	en_US
dc.contributor.author	Nešić, D	en_US
dc.contributor.author	Dower, PM	en_US
dc.date.issued	2005-12-01	en_US
dc.identifier.citation	Automatica, 2005, 41 (12), pp. 2055 - 2065	en_US
dc.identifier.issn	0005-1098	en_US
dc.identifier.uri	http://hdl.handle.net/10453/4040
dc.description.abstract	The 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. © 2005 Elsevier Ltd. All rights reserved.	en_US
dc.relation.ispartof	Automatica	en_US
dc.relation.isbasedon	10.1016/j.automatica.2005.07.005	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming	en_US
dc.type	Journal Article
utslib.citation.volume	12	en_US
utslib.citation.volume	41	en_US
utslib.for	091303 Autonomous Vehicles	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	08 Information and Computing Sciences	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CAS - Centre for Autonomous Systems
utslib.copyright.status	open_access
pubs.issue	12	en_US
pubs.publication-status	Published	en_US
pubs.volume	41	en_US

Abstract:

The 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. © 2005 Elsevier Ltd. All rights reserved.

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http://hdl.handle.net/10453/4040