Input-to-state stability analysis for homogeneous hybrid systems with bounded time-varying delays

摘要

This paper studies the problem of the input-to-state stability for homogeneous hybrid systems with bounded time-varying delays. First, some homogeneous concepts and properties are introduced and applied to hybrid systems with bounded time-varying delays. Furthermore, by using Lyapunov-Razumikhin approach, some sufficient conditions are extended to the hybrid systems to analyze the input-to-state stability, and with the homogeneous assumption, some special results can be obtained. Finally, numerical examples are given to illustrate the applicability and the effectiveness of the proposed results.