Delay-dependent stability of discrete-time complex networks with mode-dependent uncertain parameters and time delays

Author

Guo, Li-Lin ; Wang, Yan-Wu ; Wang, Hua O. ; Huang, Yue-Hua

Author_Institution

Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China

fYear

2009

Firstpage

177

Lastpage

182

Abstract

In this paper, the definition of stochastically stability is proposed for discrete-time complex networks, and the stochastically stability of a discrete-time complex network with uncertain parameters and time delays is investigated. Both the uncertain parameters and the time delays are subjected to Markov jump process. Based on the descriptor model transformation, some delay-dependent sufficient conditions are obtained by using linear matrix inequalities (LMIs). A numerical example is presented to show the effectiveness of the theoretical result.

Keywords

Markov processes; delays; discrete time systems; linear matrix inequalities; stability; uncertain systems; Markov jump process; delay dependent stability; delay dependent sufficient condition; descriptor model transformation; discrete time complex network; linear matrix inequalities; mode dependent uncertain parameter; stochastic stability; time delay; uncertain parameters; Complex networks; Control systems; Delay effects; Intelligent control; Linear systems; Robust stability; Stochastic processes; Stochastic systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE

Conference_Location

Saint Petersburg

Print_ISBN

978-1-4244-4601-8

Electronic_ISBN

978-1-4244-4602-5

Type

conf

DOI

10.1109/CCA.2009.5281142

Filename

5281142