Title :
Some Simple Synchronization Criteria for Complex Dynamical Networks
Author_Institution :
Inst. of Process Eng. Control, Tsinghua Univ., Beijing
Abstract :
Based on the concept of matrix measure, some simple synchronization criteria for complex dynamical networks are provided. If the coupling strength and the largest nonzero eigenvalue of the coupling matrix satisfy certain conditions, the stability of the synchronization manifold can be ensured. Furthermore, the proposed criteria are less conservative than some existing criteria
Keywords :
circuit stability; eigenvalues and eigenfunctions; matrix algebra; network analysis; nonlinear dynamical systems; synchronisation; complex dynamical networks; coupling matrix; coupling strength; matrix measure; nonzero eigenvalue; synchronization criteria; Chaos; Complex networks; Eigenvalues and eigenfunctions; Equations; Extraterrestrial measurements; Intelligent networks; Large-scale systems; Stability analysis; Stability criteria; Symmetric matrices; Complex dynamical networks; matrix measure; synchronization;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.882363
