LOCAL AND GLOBAL EXPONENTIAL SYNCHRONIZATION OF COMPLEX DELAYED DYNAMICAL NETWORKS WITH GENERAL TOPOLOGY Academic Article

abstract

• In this paper, we consider a generalized complex network possessing general topology, in which the coupling may be nonlinear, time-varying, nonsymmetric and the elements of each node have different time-varying delays. Some criteria on local and global exponential synchronization are derived in form of linear matrix inequalities (LMIs) for the complex network by constructing suitable Lyapunov functionals. Our results show that the obtained sufficient conditions are less conservative than ones in previous publications. Finally, two numerical examples and their simulation results are given to illustrate the effectiveness of the derived results.

authors

• Huang, Tingwen

published proceedings

• DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

author list (cited authors)

• Wang, J., Yang, Z., Huang, T., & Xiao, M.

citation count

• 28

complete list of authors

• Wang, Jin-Liang||Yang, Zhi-Chun||Huang, Tingwen||Xiao, Mingqing

publication date

• July 2011

publisher

• American Institute of Mathematical Sciences (AIMS)  Publisher

published in

• Discrete and Continuous Dynamical Systems Series B: a journal bridging mathematics and sciences  Journal

keywords

• Complex Networks
• Exponential Synchronization
• Time-varying Delays

Digital Object Identifier (DOI)

• 10.3934/dcdsb.2011.16.393

start page

• 393

end page

• 408

volume

• 16

issue

• 1

URL

• http://dx.doi.org/10.3934/dcdsb.2011.16.393