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

fYear

2008

fDate

25-27 June 2008

Firstpage

851

Lastpage

855

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/WCICA.2008.4593033

Filename

4593033