Local and global exponential synchronization of complex delayed dynamical networkswith general topology
Jin-Liang Wang, Zhichun Yang, Tingwen Huang, Mingqing Xiao · Discrete and Continuous Dynamical Systems - B · 2011
In this paper, we consider a generalized complex network possessinggeneral topology, in which the coupling may be nonlinear,time-varying, nonsymmetric and the elements of each node havedifferent time-varying delays. Some criteria on local and globalexponential synchronization are derived in form of linear matrixinequalities (LMIs) for the complex network by constructing suitableLyapunov functionals. Our results show that the obtained sufficientconditions are less conservative than ones in previous publications.Finally, two numerical examples and their simulation results aregiven to illustrate the effectiveness of the derived results.