Improved mixed-delay-dependent asymptotic stability criteria for neutral systems

Abstract

This study concerns the problem of asymptotic stability analysis for neutral systems with mixed delays. Some simple and less conservative criteria are firstly proposed based on the Wirtinger-based integral inequality. Then, incorporating the delay-decomposition idea with the augmented Lyapunov-Krasovskii functional, a new augmented delay-decomposition Lyapunov-Krasovskii functional is constructed. In addition, the Wirtinger-based integral inequality is sufficiently utilised to cope with the derivative of the constructed functional. Those treatments lead to less conservatism, and an improved asymptotic stability condition is obtained. Finally, a numerical example is given to show the effectiveness and benefit of the proposed criteria.