Delay-dependent robust stabilization for uncertain discrete-time fuzzy Markovian jump systems with mode-dependent time delays

2011 ◽  
Vol 164 (1) ◽  
pp. 66-81 ◽  
Author(s):  
Yashun Zhang ◽  
Shengyuan Xu ◽  
Yun Zou ◽  
Jinjun Lu
Keyword(s):  
Discrete Time ◽  
Time Delays ◽  
Robust Stabilization ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Delay Dependent ◽  
Jump Systems

scholarly journals Robust Stabilization of Stochastic Markovian Jump Systems with Distributed Delays

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Guilei Chen ◽  
Zhenwei Zhang ◽  
Chao Li ◽  
Dianju Qiao ◽  
Bo Sun
Keyword(s):  
Linear Matrix Inequalities ◽  
Robust Stabilization ◽  
Distributed Delays ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Markovian Jump ◽  
Parameter Uncertainties ◽  
Delay Dependent ◽  
Jump Systems

This paper addresses the robust stabilization problem for a class of stochastic Markovian jump systems with distributed delays. The systems under consideration involve Brownian motion, Markov chains, distributed delays, and parameter uncertainties. By an appropriate Lyapunov–Krasovskii functional, the novel delay-dependent stabilization criterion for the stochastic Markovian jump systems is derived in terms of linear matrix inequalities. When given linear matrix inequalities are feasible, an explicit expression of the desired state feedback controller is given. The designed controller, based on the obtained criterion, ensures asymptotically stable in the mean square sense of the resulting closed-loop system. The convenience of the design is greatly enhanced due to the existence of an adjustable parameter in the controller. Finally, a numerical example is exploited to demonstrate the effectiveness of the developed theory.

Robust stabilization of discrete time-delay Markovian jump systems

1999 ◽  
Vol 32 (2) ◽  
pp. 4935-4940 ◽  
Author(s):  
Peng Shi ◽  
Ramesh K. Agarwal ◽  
El Kebir Boukas
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Discrete Time Delay ◽  
Jump Systems

Stabilization for Stochastic Markovian Jump Systems with Time Delay

2011 ◽  
Vol 403-408 ◽  
pp. 2293-2295
Author(s):  
Yi Zhong Wang
Keyword(s):  
Time Delay ◽  
Robust Stabilization ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
The Mean ◽  
Delay Dependent ◽  
Jump Systems ◽  
Varying Delay

This paper is concerned with the robust stabilization problem for a class of stochastic markovian jump systems with Time-Varying delay. By applying a new Lyapunov-Krasovskii functional, a novel Delay-Dependent stabilization criterion for the stochastic Markovian jump systems is derived in terms of linear matrix inequalities(LMIs). When these LMIs are feasible, an explicit expression of the desired state feedback controller is given. Designed controller, based on the obtained criterion, ensures asymptotically stable in the mean square sense of the resulting Closed-Loop system for all admissible uncertainties and time delay.

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