Event-Triggered Finite-Time Stabilization of High-Order Stochastic Nonlinear Systems with Inverse Dynamics

In this paper, event-triggered finite-time stability for a class of high-order nonlinear systems with stochastic inverse dynamics is investigated. We have achieved strict finite time stability rather than finite time bounded stability compared with the previous results. Under the reasonable assumption and novel integral form of Lyapunov function, we deal with the high order term and the stochastic inverse dynamic term, and successfully design the controller to stabilize the high order stochastic nonlinear system in finite-time. Finally, one example of a stachastic high-order nonlinear system is given to verify the rationality of the controller by simulation.