Periodically intermittent discrete observations control for stabilization of highly nonlinear hybrid stochastic differential equations

In this paper, the stabilization of a class of hybrid stochastic systems whose drift coefficients satisfy high nonlinear growth conditions is studied. A periodically intermittent controller based on discrete time state observations is designed. The core idea of this paper is to derive the stability of the controlled system by constructing Lyapunov function. An example is given to prove the validity of the conclusion.