Title :
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
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;
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
DOI :
10.1109/CCA.2009.5281142
