scholarly journals Stability analysis and stabilization of Markovian jump systems with time-varying delay and uncertain transition information

2017 ◽  
Vol 28 (1) ◽  
pp. 68-85 ◽  
Author(s):  
Zhicheng Li ◽  
Yinliang Xu ◽  
Zhongyang Fei ◽  
Hong Huang ◽  
Satyajayant Misra
Keyword(s):  
Stability Analysis ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
Jump Systems ◽  
Varying Delay

Positive L1-gain filter design for positive Markovian jump systems with time-varying delay and incomplete transition rates

2016 ◽  
Vol 94 (9) ◽  
pp. 877-883
Author(s):  
Wenhai Qi ◽  
Xianwen Gao ◽  
Yonggui Kao
Keyword(s):  
Filter Design ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Transition Rates ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
Positive Markovian Jump Systems ◽  
Error System ◽  
Jump Systems ◽  
Varying Delay

This paper deals with the problem of positive L1-gain filter design for positive Markovian jump systems with time-varying delay and incomplete transition rates. By implying an appropriate co-positive type Lyapunov function and free-connection weighting vectors, sufficient conditions for stochastic stability of the filtering error system are established. Then, the L1-gain performance is analyzed. Based on the obtained results, a positive full-order filter is designed to ensure that the corresponding filtering error system is positive and stochastically stable with L1-gain performance. All the conditions are derived in linear programming. Finally, the obtained theoretical results are demonstrated by a numerical example.

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