Electron. J. Diff. Eqns., Vol. 2005(2005), No. 58, pp. 1-8.

Exponential stability criteria of linear non-autonomous systems with multiple delays

Vu Ngoc Phat, Phan T. Nam

Abstract:
In this paper, we study the exponential stability of linear non-autonomous systems with multiple delays. Using Lyapunov-like function, we find sufficient conditions for the exponential stability in terms of the solution of a Riccati differential equation. Our results are illustrated with numerical examples.

Submitted November 12, 2004. Published June 6, 2005.
Math Subject Classifications: 34K20.
Key Words: Exponential stability; time-delay; Lyapunov function; Riccati equation

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Vu Ngoc Phat
Institute of Mathematics
18 Hoang Quoc Viet Road, Hanoi, Vietnam
email: vnphat@math.ac.vn
Phan T. Nam
Institute of Mathematics
18 Hoang Quoc Viet Road, Hanoi, Vietnam

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