Title :
New synchronization criteria of complex dynamical networks
Author :
Wang, Lifu ; Wu, Liang ; Jing, Yuanwei ; Kong, Zhi
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang
Abstract :
In this paper several new criteria for states synchronization stability of general complex dynamical network are proposed based on the recently developed parallel differential (PD) eigenevalue and series differential (SD) eigenevalue theory. Using this theory, we present several new conditions for a general complex dynamical network model, which guarantee the synchronized states to be exponentially stable. Moreover, the effectiveness of these synchronization criteria has been demonstrated by numerical simulations.
Keywords :
complex networks; differential equations; eigenvalues and eigenfunctions; graph theory; stability; synchronisation; complex dynamical networks; parallel differential eigenevalue; series differential eigenevalue theory; states synchronization stability; synchronization criteria; Automation; Biochemistry; Complex networks; Graph theory; IP networks; Information science; Intelligent control; Large-scale systems; Oscillators; Stability; Complex network; State synchronization; exponentially stable; parallel differential spectra; series differential spectra;
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.2008.4593033
