Finite-time stabilization for a class of switched stochastic nonlinear systems with dead-zone input nonlinearities

This paper studies the finite-time stabilizing control problem for a class of switched stochastic nonlinear systems (SSNSs) in p-normal form. The switched systems under consideration possess the powers of different positive rational numbers and the dead-zone input nonlinearities. Based on the improving finite-time stability theorem for SSNSs established in this paper, a general framework to address common state feedback for SSNSs is developed by adopting the common Lyapunov function-based adding a power integrator technique. It is proved that the proposed controller renders the trivial solution of the closed-loop system uniformly finite-time stable in probability under arbitrary switchings. Finally, simulation results are given to confirm the validity of the proposed approach.