Stochastic stability and extended dissipativity analysis for uncertain neutral systems with semi-Markovian jumping parameters via novel free matrix-based integral inequality

2019 ◽  
Vol 29 (9) ◽  
pp. 2525-2545 ◽  
Author(s):  
Tao Wu ◽  
Lianglin Xiong ◽  
Jinde Cao ◽  
Haiyang Zhang
Keyword(s):  
Stochastic Stability ◽  
Integral Inequality ◽  
Markovian Jumping Parameters ◽  
Neutral Systems ◽  
Markovian Jumping ◽  
Dissipativity Analysis

Dissipative controller design for uncertain neutral systems with semi-Markovian jumping parameters

2017 ◽  
Vol 39 (2) ◽  
pp. 888-903 ◽  
Author(s):  
Weifeng Xia ◽  
Shengyuan Xu ◽  
Qian Ma ◽  
Zhidong Qi ◽  
Zhengqiang Zhang
Keyword(s):  
Controller Design ◽  
Markovian Jumping Parameters ◽  
Neutral Systems ◽  
Markovian Jumping

scholarly journals Stochastic stability of linear time-delay system with Markovian jumping parameters

1997 ◽  
Vol 3 (3) ◽  
pp. 187-201 ◽  
Author(s):  
K. Benjelloun ◽  
E. K. Boukas
Keyword(s):  
Time Delay ◽  
Stochastic Stability ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Delay System ◽  
Delay Systems ◽  
Necessary Condition ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
The Stability

This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the deterministic class of linear systems with time-delay to this class of systems. A delay-independent necessary condition and sufficient conditions for checking the stochastic stability are established. A sufficient condition is also given. Some numerical examples are provided to show the usefulness of the proposed theoretical results.

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