Finite-time stabilization for nonlinear discrete-time singular Markov jump systems with piecewise-constant transition probabilities subject to average dwell time

2017 ◽  
Vol 354 (5) ◽  
pp. 2102-2124 ◽  
Author(s):  
Jimin Wang ◽  
Shuping Ma ◽  
Chenghui Zhang
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Dwell Time ◽  
Transition Probabilities ◽  
Average Dwell Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Piecewise Constant ◽  
Finite Time Stabilization ◽  
Jump Systems

Finite-time boundedness of a class of discrete-time Markovian jump systems with piecewise-constant transition probabilities subject to average dwell time switching

2014 ◽  
Vol 92 (2) ◽  
pp. 93-102 ◽  
Author(s):  
Jun Cheng ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Fengxia Zheng ◽  
Kaibo Shi
Keyword(s):  
Finite Time ◽  
Dwell Time ◽  
Transition Probabilities ◽  
Average Dwell Time ◽  
Time Switching ◽  
Piecewise Constant ◽  
Switching Models ◽  
Finite Time Boundedness ◽  
Jump Systems ◽  
Average Dwell Time Switching

This paper investigates the problem of finite-time boundedness of a class of discrete-time Markovian jump systems with piecewise-constant transition probabilities subject to average dwell time switching. Another set of useful regime-switching models has been given for both fixed transition probability Markov switching models and time-varying transition probabilities. Based on the knowledge of average dwell time and multiple Lyapunov function, a novel sufficient condition for finite-time boundedness of H∞ filtering is derived and the system trajectory stays within a prescribed bound. Finally, an example is provided to illustrate the usefulness and effectiveness of the proposed method.

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