Improved results on asymptotic stability criteria for additive time-varying delay system and its applications

This paper is interested with the asymptotic stability for time-varying delay system. Using the higher order reciprocally convex technique, we derived a new delay-dependent sufficient conditions for the stability analysis of considered system in terms of Linear Matrix Inequalities (LMIs) by using Lyapunov-Krasvoskii Functional (LKF) method. Finally, two numerical examples are solved to express the effectiveness and less conservatism of the derived conditions.