Robust stability results for nonlinear Markovian jump systems with mode-dependent time-varying delays and randomly occurring uncertainties

Complexity ◽  
2015 ◽  
Vol 21 (6) ◽  
pp. 50-60 ◽  
Author(s):  
Ramasamy Krishnasamy ◽  
Pagavathigounder Balasubramaniam
Keyword(s):  
Robust Stability ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Randomly Occurring Uncertainties ◽  
Jump Systems ◽  
Nonlinear Markovian Jump Systems ◽  
Stability Results

Finite-time extended dissipative filtering for nonlinear Markovian jump systems with unknown transition rates and time-varying delays

2021 ◽  
pp. 014233122110465
Author(s):  
Yao Wang ◽  
Jun Guo ◽  
Guobao Liu ◽  
Junwei Lu ◽  
Fangyuan Li
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Transition Rates ◽  
Markovian Jump ◽  
Error System ◽  
Jump Systems ◽  
Delay Partitioning ◽  
Nonlinear Markovian Jump Systems

The problem of finite-time filtering for nonlinear Markovian jump systems subject to extended dissipativity with unknown transition rates and time-varying delays is investigated in this paper. Firstly, by constructing novel Lyapunov-Krasovskii functionals and utilizing delay partitioning method, the error system is proved to be stochastically finite-time bounded and extended dissipative. Secondly, in virtue of linear matrix inequalities approach, the desired mode-dependent filter is obtained. Finally, two simulations are illustrated for the purpose of demonstrating the less conservativeness and effectiveness of the proposed method.

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