Delay-Dependent $H_{\infty }$ Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays

2007 ◽  
Vol 54 (9) ◽  
pp. 2070-2077 ◽  
Author(s):  
Shengyuan Xu ◽  
James Lam ◽  
Xuerong Mao
Keyword(s):  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Delay Dependent ◽  
Jump Systems ◽  
Uncertain Markovian Jump Systems

scholarly journals Improved Stability Criteria for Markovian Jump Systems with Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yu-cai Ding ◽  
Hui Liu ◽  
Baodan Tian
Keyword(s):  
Convex Combination ◽  
Markovian Jump Systems ◽  
Combination Method ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jump ◽  
Improved Stability ◽  
Lyapunov Matrix ◽  
Delay Dependent ◽  
Jump Systems

The delay-dependent stochastic stability problem of Markovian jump systems with time-varying delays is investigated in this paper. Though the Lyapunov-Krasovskii functional is general and simple, less conservative results are derived by using the convex combination method, improved Wirtinger’s integral inequality, and a slack condition on Lyapunov matrix. The obtained results are formulated in terms of linear matrix inequalities (LMIs). Numerical examples are provided to verify the effectiveness and superiority of the presented results.

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