A Note on Converse Lyapunov Theorems for Neutral Systems

2015 ◽  
pp. 243-259
Author(s):  
Iasson Karafyllis ◽  
Pierdomenico Pepe
Keyword(s):  
Neutral Systems

A new result on stability analysis for stochastic neutral systems

Automatica ◽  
2010 ◽  
Vol 46 (12) ◽  
pp. 2100-2104 ◽  
Author(s):  
Yun Chen ◽  
Wei Xing Zheng ◽  
Anke Xue
Keyword(s):  
Stability Analysis ◽  
Neutral Systems

scholarly journals Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Lianglin Xiong ◽  
Xiaobing Zhou ◽  
Jie Qiu ◽  
Jing Lei
Keyword(s):  
Partial Information ◽  
Transition Probabilities ◽  
Mixed Delays ◽  
Transition Rates ◽  
Neutral Systems ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Analysis Technique ◽  
Transition Rate Matrix ◽  
Delay Dependent

The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is firstly established. Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered. Finally, to show the validity of the obtained results, three numerical examples are provided.

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