Exponential stability analysis for a class of neutral singular Markovian jump systems with time-varying delays

2019 ◽  
Vol 356 (12) ◽  
pp. 6015-6040 ◽  
Author(s):  
Shaohua Long ◽  
Shouming Zhong ◽  
Hongbo Guan ◽  
Dian Zhang
Keyword(s):  
Stability Analysis ◽  
Exponential Stability ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Singular Markovian Jump Systems ◽  
Jump Systems

scholarly journals On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-23
Author(s):  
Xinghua Liu ◽  
Hongsheng Xi
Keyword(s):  
Exponential Stability ◽  
Lyapunov Stability Theory ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Transition Rates ◽  
Stability Criteria ◽  
Markovian Jump ◽  
Rate Dependent ◽  
Partially Known Transition Rates ◽  
Jump Systems

The exponential stability of neutral Markovian jump systems with interval mode-dependent time-varying delays, nonlinear perturbations, and partially known transition rates is investigated. A novel augmented stochastic Lyapunov functional is constructed, which employs the improved bounding technique and contains triple-integral terms to reduce conservativeness; then the delay-range-dependent and rate-dependent exponential stability criteria are developed by Lyapunov stability theory, reciprocally convex lemma, and free-weighting matrices. The corresponding results are extended to the uncertain case. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.

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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