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

Abstract:
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.

Show me the PDF file (219 KB), TEX file, and other files for this article.

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

Return to the EJDE web page