Electron. J. Diff. Eqns., Vol. 2007(2007), No. 159, pp. 1-10.

Exponential stability of switched linear systems with time-varying delay

Vu N. Phat, Satiracoo Pairote

We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with time-varying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented.

Submitted September 5, 2007. Published November 21, 2007.
Math Subject Classifications: 34K20, 93C10, 34D10.
Key Words: Switched system; time delay; exponential stability; Lyapunov equation.

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Vu N. Phat
Institute of Mathematics
18 Hoang Quoc Viet Road, Hanoi, Vietnam
Satiracoo Pairote
Department of Mathematics, Mahidol Univerity
Bangkok 10400, Thailand
email: scpsc@mucc.mahidol.ac.th

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