On necessary and sufficient conditions for H<inf>∞</inf> output feedback control of Markov jump linear systems

Li, L; Ugrinovskii, VA

On necessary and sufficient conditions for H<inf>∞</inf> output feedback control of Markov jump linear systems

Li, L

Ugrinovskii, VA

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Automatic Control, 2007, 52 (7), pp. 1287 - 1292
Issue Date:: 2007-07-01

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Field	Value	Language
dc.contributor.author	Li, L https://orcid.org/0000-0001-8485-2216	en_US
dc.contributor.author	Ugrinovskii, VA	en_US
dc.date.issued	2007-07-01	en_US
dc.identifier.citation	IEEE Transactions on Automatic Control, 2007, 52 (7), pp. 1287 - 1292	en_US
dc.identifier.issn	0018-9286	en_US
dc.identifier.uri	http://hdl.handle.net/10453/15368
dc.description.abstract	This note addresses the output feedback H∞ control problem for continuous-time Markov jump linear systems. It is shown that the feasibility of a certain set of linear matrix inequalities is both sufficient and necessary for the existence of a solution. Under standard assumptions, we also give a Riccati-type sufficient and necessary condition for an H∞-suboptimal controller to exist. © 2007 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Automatic Control	en_US
dc.relation.isbasedon	10.1109/TAC.2007.900832	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	On necessary and sufficient conditions for H<inf>∞</inf> output feedback control of Markov jump linear systems	en_US
dc.type	Journal Article
utslib.citation.volume	7	en_US
utslib.citation.volume	52	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0913 Mechanical 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 Electrical and Data Engineering
utslib.copyright.status	open_access
pubs.issue	7	en_US
pubs.publication-status	Published	en_US
pubs.volume	52	en_US

Abstract:

This note addresses the output feedback H∞ control problem for continuous-time Markov jump linear systems. It is shown that the feasibility of a certain set of linear matrix inequalities is both sufficient and necessary for the existence of a solution. Under standard assumptions, we also give a Riccati-type sufficient and necessary condition for an H∞-suboptimal controller to exist. © 2007 IEEE.

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http://hdl.handle.net/10453/15368