Title :
Local synchronization for complex dynamical networks with switching coupling matrices and time delays
Author :
Wang, Tianbo ; Zhou, Wuneng ; Mou, Jinping
Author_Institution :
Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China
Abstract :
This technical letter investigates the local synchronization for complex dynamical networks with switching coupling matrices and time delays. The time delays include discrete time delay and distributed time delay. The outer-coupling matrices in the considered complex networks are assumed to vary with a Markov process taking finite values. Based on a novel Lyapunov function and complete square method, a criteria is obtained to guarantee the local synchronization for complex networks. Finally, a numerical example is provided to show the effectiveness of our proposed methods.
Keywords :
Lyapunov matrix equations; Markov processes; delay systems; discrete time systems; large-scale systems; synchronisation; time-varying systems; Lyapunov function; Markov process; complex dynamical network; discrete time delay; distributed time delay; local synchronization; outer-coupling matrix; square method; switching coupling matrix; Complex networks; Couplings; Delay; Delay effects; Markov processes; Symmetric matrices; Synchronization; Complex networks; local synchronization; time delays; white noises;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968455
