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This paper addresses the intricate challenges in stabilizing nonlinear systems amidst event-triggering and switching dynamics, operating under a less stringent input-to-state stability (ISS) condition from input disturbance to the state. We propose two classes of event-triggered stabilization schemes utilizing multiple Lyapunov functions under state-dependent and time-dependent switching laws, respectively. The former ensures a predefined dwell time for switched systems, along with a constant lower bound for consecutive triggering intervals. Additionally, it guarantees that the sequence of switching instants remains a subsequence of triggering instants, thereby preventing asynchronous switching between controllers and subsystems. The latter scheme incorporates both average dwell time and dwell time, employing continuous and non-continuous evaluation methods, respectively. With non-continuous evaluation, the triggering mechanism requires evaluation only at each switching instant, conserving computational and communication resources while ensuring that triggering intervals are lower bounded by the dwell time. The former scheme operates under ISS within specific subregions of the state space for each subsystem, while the latter scheme applies ISS across the entire state space. Both designs ensure global asymptotic stability of the closed-loop system.
Long et al. (Mon,) studied this question.