Stability of Switched Time-Delay Systems via Mode-Dependent Average Dwell Time Switching

Abstract

The stability problem is explored for a class of switched time-delay systems (STDSs) with unstable subsystems in this paper. The delay-dependent stability criterion of the STDSs with mode-dependent average dwell time (MDADT) switching is developed via the multiple Lyapunov–Krasovskii functional approach. The proposed MDADT switching signal contains both fast switching and slow switching. Finally, the validity of the developed result is certified via a simulation example.

Keywords

• Switched system
• time delay
• mode-dependent average dwell time method
• unstable subsystems