A note on the asymptotic stability of solutions of non-linear neutral systems with variable delay

Abstract

In this study, we are presented some sufficient conditions for the asymptotic stability of solutions of a non-linear neutral system with variable delay. The approaches to obtaining these sufficient conditions are based on the Lyapunov–Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique. Criteria are derived for asymptotic analysis of solutions of the system considered. Consequently, two numerical examples are given to show the effectiveness and applicability of proposed method by MATLAB-Simulink.