Delay-Dependent Stability for Linear Systems with Multiple Time Delays

This paper deals with the problem of the asymptotical stability for a class of linear systems with multiple time delays. By incorporating with the integral inequality, a linear matrix inequality method is used to derive a delay-dependent sufficient condition, which can guarantee that the linear systems with multiple time delays are asymptotical stable. At last, one example is given to illustrate that the new methods are more effective than the present methods and the delay bounds obtained in this paper are of less conservative.