Finite‐time stabilization of Markovian switched stochastic high‐order nonlinear systems with inverse dynamics

In this paper, we investigate the finite‐time stabilization of a class of nonlocal Lipschitzian stochastic nonlinear systems with Markovian switching and stochastic inverse dynamics. We first present the finite‐time stability theory for stochastic nonlinear systems with Markovian switching under the framework of weak solutions. Then, a finite‐time controller with state feedback is constructed for a class of stochastic high‐order nonlinear systems with Markovian switching and stochastic inverse dynamics. The trivial weak solution of the closed‐loop system is proved to be globally finite‐time stable in probability. Finally, the effectiveness of the proposed design method is verified by a simulation example.