Discrete feedback stabilization of highly nonlinear neutral stochastic Markovian jump systems with multiple delays

This paper explores the discrete feedback stabilization of highly nonlinear neutral stochastic Markovian jump systems (HNNSMJSs). Different from the existing literature, the neutral terms of these HNNSMJSs contain multiple delays and Markovian jump parameters. Firstly, the existence, uniqueness and boundedness of the solution are proved under some reasonable conditions. Secondly, a feedback control based on the discrete-time state observations is designed to stabilize an unstable HNNSMJS. Then, by applying the method of Lyapunov functional, the asymptotic stability of the controlled system is discussed. The upper bound of the time interval between two consecutive state observations is also given. Finally, a numerical example is provided to illustrate the theoretical results.