A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters

Author

Hongqian, Lu ; Wuneng, Zhou ; Yuhua, Xu ; Minghao, Li ; Lei, Jiang

Author_Institution

Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai

fYear

2008

fDate

16-18 July 2008

Firstpage

806

Lastpage

810

Abstract

The problem of robust stochastic stability analysis of uncertain singular time-varying delay systems with Markovian jumping parameters is investigated in this paper. Free-weighting matrices are employed to express the relationship between the terms in the Leibniz-Newton formula, and based on that relationship, a new delay-dependent stochastic admissible criterion is derived for singular system with Markovian jumping parameters and time-varying delay. Finally, a numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.

Keywords

Markov processes; Newton method; delay systems; matrix algebra; stability; stochastic processes; time-varying systems; uncertain systems; Leibniz-Newton formula; Markovian jumping parameters; delay-dependent stochastic admissible criterion; free-weighting matrices; stochastic stability analysis; uncertain singular time-varying delay systems; Control system synthesis; Control systems; Delay effects; Educational institutions; Information science; Robust control; Robust stability; Stability analysis; Stochastic systems; Time varying systems; Delay-dependent; Linear matrix inequality (LMI); Markovian jumping parameters; Singular system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605856

Filename

4605856