Title :
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
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;
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
DOI :
10.1109/CHICC.2008.4605856
