Discrete-time feedback stabilization for hybrid neutral stochastic systems

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.

Exponential stability for Markovian neutral stochastic systems with general transition probabilities and time-varying delay

This paper discusses the problem of exponential stability for Markovian neutral stochastic systems with general transition probabilities and time-varying delay. Based on non-convolution type multiple Lyapunov functions and stochastic analysis method, we obtain the conditions which are independent to any decay rate of the exponential stability for uncertain transition probabilities neutral stochastic systems with time-varying delay. Finally, two examples are presented to illustrate the effectiveness and potential of the proposed results.

New Exponential Stability Results for Neutral Stochastic Systems with Distributed Delays

This paper studies the stability problem of a grey neutral stochastic system with distributed delays. The main feature of a grey system is that the parameters of system are evaluated by grey numbers, and system has the strong background in engineering applications. However, the literature dealing with the stability problem for grey system seems to be scarce. The main aim of this paper is to fill the gap. Based on the Lyapunov stability theorem and Itô’s formula, especially, using the decomposition technique of the continuous matrix-covered sets of grey matrix, we propose several novel sufficient conditions, which ensure our considered grey system in mean-square exponential stability and almost surely exponential stability. Furthermore, two examples are provided to show the effectiveness of the obtained results.