Discrete-time feedback stabilization for hybrid neutral stochastic systems

Abstract

In this paper, we study the exponential stabilization problem in [Formula: see text]th moment of hybrid neutral stochastic systems by discrete-time feedback controls. By extending Mao’s method, we first derive an upper bound of state observation duration of the corresponding systems with continuous-time state observation feedback controls. We further establish exponential stabilization conditions in [Formula: see text]th moment for the hybrid neutral stochastic system. The obtained results have potential applications to stabilize practical hybrid systems with interconnected stochastic oscillators.