Stability of discrete-time delay Markovian jump systems with stochastic non-linearity and impulses

2013 ◽  
Vol 7 (18) ◽  
pp. 2178-2187 ◽  
Author(s):  
Yu Zhang
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
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

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

Stochastic Admissibility for a Class of Nonlinear Singular Markovian Jump Systems with Time-Delay and Partially Unknown Transition Probabilities

2012 ◽  
Vol 235 ◽  
pp. 254-258 ◽  
Author(s):  
Shao Hua Long ◽  
Shou Ming Zhong
Keyword(s):  
Time Delay ◽  
Transition Probabilities ◽  
Functional Method ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Weighting Matrix ◽  
Singular Markovian Jump Systems ◽  
Jump Systems ◽  
Stochastic Admissibility

The problem of the stochastic admissibility for a class of nonlinear singular Markovian jump systems with time-delay and partially unknown transition probabilities is discussed in this note. The considered singular matrices Er(t) in the discussed system are mode-dependent. By using the free-weighting matrix method and the Lyapunov functional method, a sufficient condition which guarantees the considered system to be stochastically admissible is presented in the form of linear matrix inequalities(LMIs). Finally, a numerical example is given to show the effectiveness of the presented method.

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