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

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.