Delay-dependent stability analysis for singular Markovian jump systems with incomplete transition probabilities

2015 ◽  
Vol 352 (1) ◽  
pp. 236-247 ◽  
Author(s):  
Sung Hyun Kim
Keyword(s):  
Stability Analysis ◽  
Transition Probabilities ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Singular Markovian Jump Systems ◽  
Delay Dependent ◽  
Jump Systems ◽  
Delay Dependent Stability

scholarly journals Further Results on Stability Analysis for Markovian Jump Systems with Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
O. M. Kwon ◽  
R. Sakthivel ◽  
M. J. Park
Keyword(s):  
Stability Analysis ◽  
Stability Criterion ◽  
Markovian Jump Systems ◽  
Fast Time ◽  
Time Varying ◽  
Markovian Jump ◽  
Maximum Delay ◽  
Delay Dependent ◽  
Jump Systems ◽  
Delay Dependent Stability

This paper is concerned with the problem of stability analysis for Markovian jump systems with time-varying delays. By constructing a newly augmented Lyapunov-Krasovskii functional and combining Wirtinger-based integral inequality, an improved delay-dependent stability criterion within the framework of linear matrix inequalities (LMIs) is introduced. Based on the result of delay-dependent stability criterion, when linear systems have fast time-varying delays, a corresponding stability condition is given. Via three numerical examples, the improvements of the proposed criteria are shown by comparing maximum delay bounds provided by our theorems with the recent results.

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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