Dynamic event-triggered control for delayed switched neural networks: A merging signal scheme

This paper investigates the asynchronous control of delayed switched neural networks via a dynamic event-triggering mechanism (DETM) and a merging signal scheme. Firstly, an improved DETM is proposed through adding an exponential decaying term into the triggering condition, which is proved to have a larger lower bound by comparison with the static event-triggering mechanism (SETM) and the existing DETM. Next, a merging signal is constructed by introducing a time-varying delay to combine the system switching signal with the controller switching signal, which is convenient to deal with the synchronous and asynchronous switching in a unified framework. Then, the closed-loop system which integrates the proposed DETM with the merging signal is formulated. Moreover, by constructing multiple time-dependent Lyapunov functionals, sufficient conditions which ensure the asymptotical stability of the resulting closed-loop system are derived, and a design algorithm for the feedback controller is designed consequently. Finally, the validity and superiority of the proposed results are demonstrated by numerical examples.