Finite-time stabilization of discrete Markov jump systems with partly known transition probabilities

2014 ◽  
Author(s):  
Mouquan Shen ◽  
Yuhao Yuan
Keyword(s):  
Finite Time ◽  
Transition Probabilities ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Finite Time Stabilization ◽  
Jump Systems

Stochastic Finite-Time Stabilization for Uncertain Jump Systems via State Feedback

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Shuping He ◽  
Fei Liu
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Markov Jump ◽  
External Disturbances ◽  
Markov Jump Systems ◽  
Finite State ◽  
Finite Time Stabilization ◽  
Jump Systems

The stochastic finite-time stabilization problem is considered for a class of linear uncertain Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. By using the appropriate stochastic Lyapunov–Krasovskii functional approach, sufficient conditions are proposed for the design of stochastic finite-time stabilization controller. The stabilization criteria are formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The designed finite-time stabilized controller makes the stochastic MJSs stochastic finite-time bounded and stochastic finite-time stabilizable for all admissible unknown external disturbances and uncertain parameters. Simulation results illustrate the effectiveness of the developed approaches.

Observer-based finite-time stabilization for extended Markov jump systems

2010 ◽  
Vol 13 (6) ◽  
pp. 925-935 ◽  
Author(s):  
Xiaoli Luan ◽  
Fei Liu ◽  
Peng Shi
Keyword(s):  
Finite Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Finite Time Stabilization ◽  
Jump Systems
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