Title :
Synchronization of Networked Systems and Laplacian-Spectrum Modification
Author :
Jianxin, Wu ; Huashu, Qin ; Yiguang, Hong
Author_Institution :
Chinese Acad. of Sci., Beijing
Abstract :
In this paper, synchronization-related problems of networked systems are considered. Simple necessary conditions are given with help of the estimated bounds of the eigenvalues of the coupled Laplacian. These conditions are easy to check since we mainly choose maximum and minimum vertex degrees and other easily obtained network parameters. Moreover, the effects of adding/removing edges of the original network topology on synchronization is also considered. Suggestions about edge addition/removal to improve the synchronization situations in networked systems are given.
Keywords :
Laplace equations; eigenvalues and eigenfunctions; estimation theory; network theory (graphs); topology; Laplacian-spectrum modification; bound estimation; eigenvalues; network topology; networked systems synchronization; Control systems; Differential equations; Eigenvalues and eigenfunctions; Electronic mail; Laplace equations; Large-scale systems; Network topology; Nonlinear systems; Oscillators; Stability; Laplacian Spectrum; Networked Systems; Synchronization;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347116
