Delay Independence Stability Analysis and Switching Law Design for the Switched Time-delay Systems

摘要

The study presents an innovative representation modeling of the switched time-delay system and study the problem of delay-independence stability and switching law design for switched time-delay systems. The methods based on Lyapunov-Razumikhin stability theorem to study the stability and switching law design for the switched time-delay systems with state-driven switching method are presented. There are two basic problems in stability and switching law design of the switched time-delay system. These problems are stability for arbitrary switching sequences and construction of stabilizing switching sequences. This study derives stability conditions that guarantee the switched time-delay system is delay-independent asymptotically stable for two kinds of switching law. This study constructs linear matrix inequalities based design procedures for stability analysis. Finally, numerical examples are given to show the merits of the proposed approach.