Title :
New stability analysis for markovian jump neutral systems
Author :
Xiong, Lianglin ; Qiu, Jie ; Cui, Jinzhong
Author_Institution :
Sch. of Math. & Comput. Sci., Yunnan Univ. of Nat., Kunming, China
Abstract :
The delay-dependent stability problem is studied for neutral Markovian jump systems with mixed and interval time delays. By constructing the new stochastic Lyapunov-Krasovskii functional, combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is established. Then, to show the validity of the obtained results, one numerical example is provided.
Keywords :
Lyapunov methods; Markov processes; delay systems; linear matrix inequalities; stochastic systems; Markovian jump neutral system; delay-dependent stability problem; free matrices; interval time delays; linear matrix inequality; mixed time delays; stability analysis; stochastic Lyapunov-Krasovskii functional; transition rate; Delay; Linear matrix inequalities; Linear systems; Markov processes; Numerical stability; Stability analysis; Delay-dependent stability; Interval time delay; Linear matrix inequality (LMI); Mixed delay; Neutral Markovian jump systems;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6233968
