Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations

This paper is concerned with the stabilization problem for nonlinear stochastic delay systems with Markovian switching by feedback control based on discrete-time state and mode observations. By constructing an efficient Lyapunov functionals, we establish the sufficient stabilization criteria not only in the sense of exponential stability (both the mean-square stability and the almost sure stability) but also in other sense - that of H-infinity stability and asymptotic stability. Meanwhile, the upper bound on the duration tau between two consecutive state and mode observations is obtained. Numerical examples are provided to demonstrate the effectiveness of our theoretical results.