Stabilization of stochastic nonlinear systems via double-event-triggering mechanisms and switching controls

Abstract

In this paper, we concentrate on the exponential stabilization of stochastic nonlinear systems. Different from the single event-triggering mechanism in traditional deterministic/stochastic control systems, based on two stopping time sequences, we put forward a double-event-triggering mechanism (DETM) to update control signals and make two different controls switch in order. Also, this novel DETM allows aperiodic time updating and guarantees a positive lower bound on the inter-event times. Together with this DETM, we introduce a switching control law, including a primary control and a secondary control for a non-switched stochastic system to obtain the exponential stabilization and boundedness results. Finally, an illustrative example with simulation figures is given to demonstrate the obtained results.