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Discrete-time feedback stabilization for hybrid neutral stochastic systems

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In this paper, we study the exponential stabilization problem in pth moment of hybrid neutral stochastic systems by discrete-time feedback controls. By extending Mao’s method, we first derive an upper… Click to show full abstract

In this paper, we study the exponential stabilization problem in pth 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 pth moment for the hybrid neutral stochastic system. The obtained results have potential applications to stabilize practical hybrid systems with interconnected stochastic oscillators.

Keywords: stabilization; stochastic systems; time; feedback; neutral stochastic; hybrid neutral

Journal Title: Stochastics and Dynamics
Year Published: 2017

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