Stability and stabilization of switched linear dynamic systems with time delay and uncertainties

Hien, LV; Ha, QP; Phat, VN

Stability and stabilization of switched linear dynamic systems with time delay and uncertainties

Hien, LV Ha, QP

Phat, VN

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Publication Type:: Journal Article
Citation:: Applied Mathematics and Computation, 2009, 210 (1), pp. 223 - 231
Issue Date:: 2009-04-01

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Field	Value	Language
dc.contributor.author	Hien, LV	en_US
dc.contributor.author	Ha, QP https://orcid.org/0000-0003-0978-1758	en_US
dc.contributor.author	Phat, VN	en_US
dc.date.issued	2009-04-01	en_US
dc.identifier.citation	Applied Mathematics and Computation, 2009, 210 (1), pp. 223 - 231	en_US
dc.identifier.issn	0096-3003	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8291
dc.description.abstract	This paper considers the problem of exponential stability and stabilization of switched linear time-delay systems. The system parameter uncertainties are time-varying and unknown but norm-bounded. The delay in the system states is also time-varying. By using an improved Lyapunov-Krasovskii functional, a switching rule for the exponential stability and stabilization is designed in terms of the solution of Riccati-type equations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the results. © 2009 Elsevier Inc. All rights reserved.	en_US
dc.relation.ispartof	Applied Mathematics and Computation	en_US
dc.relation.isbasedon	10.1016/j.amc.2008.12.082	en_US
dc.subject.classification	Numerical & Computational Mathematics	en_US
dc.title	Stability and stabilization of switched linear dynamic systems with time delay and uncertainties	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	210	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
dc.location.activity	ISI:000264065700028	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
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	closed_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	210	en_US

Abstract:

This paper considers the problem of exponential stability and stabilization of switched linear time-delay systems. The system parameter uncertainties are time-varying and unknown but norm-bounded. The delay in the system states is also time-varying. By using an improved Lyapunov-Krasovskii functional, a switching rule for the exponential stability and stabilization is designed in terms of the solution of Riccati-type equations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the results. © 2009 Elsevier Inc. All rights reserved.

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http://hdl.handle.net/10453/8291