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

Fault detection of discrete-time delay Markovian jump systems with delay term modes partially available

2019 ◽  
Vol 356 (5) ◽  
pp. 3045-3071 ◽  
Author(s):  
Guoliang Wang ◽  
Zhiqiang Li ◽  
Xin Miao ◽  
Qingling Zhang ◽  
Chunyu Yang
Keyword(s):  
Time Delay ◽  
Fault Detection ◽  
Discrete Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Delay Term ◽  
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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