Nonsmooth Stabilization of a Class of Markovian Jump Stochastic Nonlinear Systems with Parametric and Dynamic Uncertainties

In this paper, we investigate the finite-time stabilization of Markovian jump stochastic nonlinear (SNL) systems with dynamic uncertainties. Firstly, a proper criterion on finite-time globally asymptotically stability in probability (FGSP) and some useful lemmas are introduced. Then, overcoming the influence of coupled item which determined by Markovian switching, by adding a power integrator technique and induction method, a state-feedback finite-time controller is explicitly constructed. It is proven that, the system state of the closed-loop systems is FGSP. Simulation examples illustrate the effectiveness of our method.