Improved delay-dependent stability analysis for linear time-delay systems: Based on homogeneous polynomial Lyapunov-Krasovskii functional method

An improved delay-dependent stability condition for linear system with interval time-varying delay is provided in this paper. Different from previous methods, a homogeneous polynomial Lyapunov-Krasovskii functional is introduced, based on the new Lyapunov-Krasovskii functional method and wirtinger-based integral inequality technique, a novel delay-dependent stability criterion for mentioned system is obtained in terms of linear matrix inequalities, which is less conservative than most recent results. Numerical examples are also provided to show the advantage of the obtained result.