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

fYear

2012

fDate

29-31 May 2012

Firstpage

2715

Lastpage

2719

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on

Conference_Location

Sichuan

Print_ISBN

978-1-4673-0025-4

Type

conf

DOI

10.1109/FSKD.2012.6233968

Filename

6233968