New stochastic robust stability criteria for time-varying delay neutral system with Markovian jump parameters

Author

Zhou, Chang-Jie ; Lu, Ji-Yong ; Qiu, Ji-Quing ; Liu, Xiu-Jun ; Lu, Kun-Feng ; Jie Li

Author_Institution

Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China

Volume

5

fYear

2009

fDate

12-15 July 2009

Firstpage

2603

Lastpage

2607

Abstract

In this paper, the problem of stochastic robust stability of time-varying delay neutral system with Markovian jump parameters is investigated. The jumping parameters are considered as a continuous-time, continuous state Markov process. Based on the Lyapunov-Krasovskii functional approach, a new delay-dependent stochastic stability criteria is presented in terms of LMIs. A numerical example is given to illustrate the effectiveness of the developed method.

Keywords

Lyapunov methods; Markov processes; delay systems; linear matrix inequalities; robust control; stability criteria; stochastic systems; Lyapunov-Krasovskii functional; Markovian jump parameters; continuous state Markov process; delay-dependent stochastic stability criteria; linear matrix inequalities; stochastic robust stability criteria; time-varying delay neutral system; Cybernetics; Delay systems; Machine learning; Robust stability; Stochastic systems; Time varying systems; Markovian jump parameters; linear matrix inequalities(LMIs); neutral systems; robust stability; time-varying delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2009 International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3702-3

Electronic_ISBN

978-1-4244-3703-0

Type

conf

DOI

10.1109/ICMLC.2009.5212126

Filename

5212126