An improved criterion for exponential stability of linear systems with multiple time delays

Abstract

Exponential stability of linear systems with multiple time delays is studied in this paper. By using an improved Lyapunov functional, we have obtained an improved criterion, which is strictly less conservative than the very recent criterion in Ren and Cao [Fengli Ren, Jinde Cao, Novel α -stability of linear systems with multiple time delays, Appl. Math. Comput. 181 (2006), 282–290], and an estimation of Lyapunov factor. A numerical example is also given to shown the superiority of our result to those in the literature.