Delay-Dependent α-Stable Linear Systems with Multiple Time Delays

In this paper we investigate the delay dependent exponential stability a of class of multiple time delay systems. A new sufficient condition is derived by using the Lyapunov functional method, linear matrix inequality (LM I). For this purpose, we use a decomposition technique of the delay term matrices. Then we investigate exponential stability of system and at the end some numerical examples are given to illustrate efficiency of our method.