scholarly journals Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations

2015 ◽  
Vol 102 ◽  
pp. 8-16 ◽  
Author(s):  
Surong You ◽  
Liangjian Hu ◽  
Wei Mao ◽  
Xuerong Mao
Keyword(s):  
Discrete Time ◽  
Uncertain Systems ◽  
Exponential Stabilization ◽  
Feedback Controls ◽  
Discrete Time Observations

Discrete-time feedback stabilization for hybrid neutral stochastic systems

2018 ◽  
Vol 18 (05) ◽  
pp. 1850035
Author(s):  
Ling Bai ◽  
Qingzhong Li ◽  
Honglei Xu ◽  
Qian Zhang ◽  
Yi Zhang
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Feedback Stabilization ◽  
Exponential Stabilization ◽  
Stabilization Problem ◽  
Feedback Controls ◽  
State Observation ◽  
Potential Applications ◽  
Neutral Stochastic Systems ◽  
Stochastic Oscillators

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.

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