Mixed-delay-dependent stability for time-delay neutral system: an improved dynamic Lyapunov method

摘要

This work studies the mixed-delay-dependent asymptotical stability for a class of time-delay neutral systems and three less conservative criteria are presented in terms of linear matrix inequalities. Firstly, by proposing an improved dynamic Lyapunov method, an augmented Lyapunov-Krasovskii functional (LKF) is constructed, which does not only benefit from the information on each time-delay but also heavily depends on the interconnection between time-delays. Then, two effective Wirtinger-based integral inequalities and an extended reciprocal convex technique are employed to give much tighter bound on the LKF's derivative. In all, these treatments above can result in much less conservatism. Finally, two numerical examples are presented to demonstrate the effectiveness and advantages of our proposed criteria.