Delay-dependent stability analysis for a class of dynamical systems with leakage delay and nonlinear perturbations

This paper studies the stability problem for a class of dynamical systems with leakage delay and nonlinear perturbations based on linear matrix inequality (LMI) approach. Some sufficient conditions which are dependent on the leakage delay are derived to ensure the global asymptotic stability by using Lyapunov–Krasovskii functional method and free weighting matrix technique. Two examples and their simulations are given to show the effectiveness and advantage of the present results.