Stability and stabilisation of switched linear systems with time delay and uncertainties

Hien, L; Phat, V; Ha, Q

Stability and stabilisation of switched linear systems with time delay and uncertainties

Hien, L Phat, V Ha, Q

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Hien L., Phat V, and Ha Quang 2009, 'Stability and stabilisation of switched linear systems with time delay and uncertainties', Elsevier, vol. 210, no. 1, pp. 223-231.
Issue Date:: 2009

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Field	Value	Language
dc.contributor.author	Hien, L	en_US
dc.contributor.author	Phat, V	en_US
dc.contributor.author	Ha, Q	en_US
dc.date.accessioned	2010-05-28T09:46:52Z
dc.date.available	2010-05-28T09:46:52Z
dc.date.issued	2009	en_US
dc.identifier	2008003929	en_US
dc.identifier.citation	Hien L., Phat V, and Ha Quang 2009, 'Stability and stabilisation of switched linear systems with time delay and uncertainties', Elsevier, vol. 210, no. 1, pp. 223-231.	en_US
dc.identifier.issn	0096-3003	en_US
dc.identifier.other	C1	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9000
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 Lyapunovâ¿¿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.	en_US
dc.publisher	Elsevier	en_US
dc.relation.ispartof	Verified OK	en_US
dc.relation.ispartof	Applied mathemetics and computation	en_US
dc.relation.isbasedon	http://dx.doi.org/10.1016/j.amc.2008.12.082	en_US
dc.subject	Switching system, Time-delay system, Uncertainty, Exponential stability, Stabilization, Riccati equation	en_US
dc.subject.classification	Computation Theory and Mathematics	en_US
dc.title	Stability and stabilisation of switched linear systems with time delay and uncertainties	en_US
dc.type	Journal article
utslib.citation.volume	210	en_US
utslib.citation.number	1	en_US
utslib.location	Amsterdam, The Netherlands	en_US
utslib.citation.startpage	223	en_US
utslib.citation.endpage	231	en_US
utslib.identifier.org	FEIT.School of Elec, Mech and Mechatronic Systems	en_US
utslib.for	080200	en_US
utslib.percentage	000100	en_US
utslib.copyright.status	closed_access

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 Lyapunovâ¿¿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.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/9000