Improved delay-dependent stability criteria for linear systems with time-varying delay

This paper is concerned with the delay-dependent stability and robust stability for uncertain systems with time-varying delay. Through constructing a general form of Lyapunov-Krasovskii functional, and using slack matrices and the convex combination condition in the calculation, the delay-dependent stability criteria are derived in terms of linear matrix inequalities without applying any bounding techniques. Numerical examples are given to illustrate the improvement on the conservatism of the delay bound over some existing results.