Research on delay-dependent stability criteria for linear systems with time delay

This paper drives the asymptotical stability conditions for a class of linear systems with time delay. First, a series of integral inequalities based on quadratic term are formulated by combining Leibniz-Newton formula. Next, based on Lyapunov-Krasovskii functional method and linear matrix inequality(LMI), the sufficient conditions of delay-dependent stability are derived to ensure the linear systems with time delay are asymptotically stable. Last, the results are illustrated by some numerical examples and the delay bounds obtained in this paper are of less conservative.