Title :
Delay-dependent stability of complex dynamical networks with mode-dependent parameters and time delays
Author :
Guo Li-Lin ; Zhao Nian-Yuan ; Huang Yue-Hua ; Xiao Jiang-Wen ; Wang Yan-Wu
Author_Institution :
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
In this paper, the definition of the stochastic stability is proposed for a continuous-time complex dynamical network (CDN), and the stochastic stability of the CDN with uncertain parameters and time delay is investigated. Based on the descriptor model transformation, some delay-dependent sufficient conditions are obtained in terms of linear matrix inequalities (LMIs). An important feature of the results is that both the uncertain parameters and the time delay are subjected to the same continuous-time homogeneous Markov jump process which has discrete and finite state space. Another feature of the results is that the second stability condition is dependent on the difference between upper and lower bound of the delay. A numerical example is presented to show the effectiveness of the theoretical result.
Keywords :
Markov processes; asymptotic stability; complex networks; continuous time systems; delays; discrete time systems; linear matrix inequalities; time-varying systems; uncertain systems; Markov jump process; continuous time complex dynamical network; delay dependent stability; descriptor model transformation; discrete state space; finite state space; linear matrix inequality; mode-dependent parameters; stochastic stability; time delay; uncertain parameter; Asymptotic stability; Delay; Linear matrix inequalities; Markov processes; Stability analysis; Thermal stability; Complex Dynamical Networks; Markov Jumping; Stochastic Stability; Time-Delay; Uncertain Parameters;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6