Title :
New delay-dependent synchronization criterion for complex dynamical networks with coupling delays
Author :
Yang, Degang ; Hu, Chunyan
Author_Institution :
Coll. of Math. & Comput. Sci., Chongqing Normal Univ., Chongqing
Abstract :
Synchronization stability in complex dynamical networks with coupling delays is investigated. Nonlinear complex network system is transformed to linear system. A new criterion for global synchronization stability for the complex networks with coupling delays has been derived using an approach combining the Lyapunov-Krasovskii functional with LMI techniques. The results are related to the size of delays. It has been illustrated that the proposed result generalizes and improves those reported in the literature. A numerical simulation is also given to illustrate the validity of our result.
Keywords :
Lyapunov methods; complex networks; delays; linear matrix inequalities; linear systems; nonlinear dynamical systems; numerical analysis; stability; synchronisation; LMI techniques; Lyapunov-Krasovskii functional; complex dynamical networks; coupling delays; delay-dependent synchronization criterion; global synchronization stability; linear matrix inequalities; linear system; nonlinear complex network system; numerical simulation; Automation; Complex networks; Computer science; Couplings; Delay effects; Educational institutions; Intelligent control; Linear matrix inequalities; Mathematics; Stability criteria; Complex Networks; Linear Matrix Inequality (LMI); Stability; Synchronization; Time Delay;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4594215
