Stability analysis of time-delay singular Markovian jump systems with time-varying switching: The quantized approach

2014 ◽  
Author(s):  
Haiying Bo ◽  
Guoliang Wang
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Singular Markovian Jump Systems ◽  
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.

Robust H ∞ deconvolution filtering for uncertain singular Markovian jump systems with time-varying delays

2015 ◽  
Vol 26 (12) ◽  
pp. 2564-2585 ◽  
Author(s):  
Guangming Zhuang ◽  
Shengyuan Xu ◽  
Baoyong Zhang ◽  
Huiling Xu ◽  
Yuming Chu
Keyword(s):  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Singular Markovian Jump Systems ◽  
Jump Systems
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