Event-triggered finite-time extended dissipative control for switched linear neutral systems with time-varying delays and frequent asynchronism

Abstract

This study focuses on the event-triggered finite-time extended dissipative control for the switched linear neutral systems with time-varying delays and frequent asynchronism. In comparison to previous event-triggered control, which restrict the minimum dwell time, we allow frequent switching to occur within an inter-event interval based on average dwell time (ADT) approach. Firstly, given the challenge of acquiring all information about the state, a dynamic output feedback controller (DOFC) is adopted to stabilize the switched neutral system. Secondly, the subjects of finite-time boundedness and extended dissipative performance for the resulting closed-loop system are analyzed by means of controller-mode-dependent Lyapunov functional. Furthermore, a lemma is applied to establish the sufficient criteria for co-designing the DOFC and mode-dependent event-triggered mechanism (ETM). Additionally, it is demonstrated that the Zeno phenomenon cannot occur since there exists a positive minimum threshold on the inter-event intervals. Finally, two examples are given to illustrate the efficacy of the obtained methods.