Finite-Time Stabilization of Switched Systems Under Mode-Dependent Event-Triggered Impulsive Control

This article studies the event-triggered finite-time stabilization problem of nonlinear switched systems in which the time derivatives of Lyapunov functions of modes are indefinite. Based on a mode-dependent average dwell time constraint and event-triggered impulsive control (ETIC) strategy, a new type of the mode-dependent event-triggered mechanism (MDETM) which can efficiently avoid Zeno behavior for switched systems is presented. Some Lyapunov-based criteria for finite-time stability (FTS) and finite-time contractive stability (FTCS) are obtained, respectively, where a relationship between the prescribed bound and event-triggered mechanism is established. Then, we apply these proposed ETIC strategies to impulsive switched systems and design a class of LMI-based MDETMs to guarantee the FTS/FTCS property. Finally, the effectiveness of presented ETIC strategies is illustrated by two examples.

Automated summary

This article investigates the event-triggered finite-time stabilization problem of nonlinear switched systems with indefinite time derivatives of Lyapunov functions. A novel mode-dependent event-triggered mechanism is proposed to efficiently avoid Zeno behavior, along with Lyapunov-based criteria for finite-time stability and finite-time contractive stability. The effectiveness of the proposed strategies is illustrated through two examples.