Adaptive finite-time control of a class of Markovian jump nonlinear systems with parametric and dynamic uncertainties

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