Exponential synchronization of complex delayed dynamical networks with general topology

Tao Liu, Georgi M. Dimirovski and Jun Zhao

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 2, 643-652

Abstract: The global exponential synchronization of complex delayed dynamical networks possessing general topology is investigated in this contribution. The network model considered can represent both the directed and undirected weighted networks. Novel delay-dependent linear controllers are designed via Lyapunov stability theory and appropriate property of the coupling matrix. It is shown that the controlled networks are globally exponentially synchronized with a given convergence rate. An example of typical dynamical network with coupling delays of this class, having the unified chaotic system at each node, have been used to demonstrate and verify the novel design proposed. The network possesses weighted and directed coupling topology, and the computer simulation showed the effectiveness of the proposed control design.

Keywords: Exponential synchronization; Complex dynamical network; Directed and weighted network; Coupling delays; Lyapunov functional; Decentralized control (search for similar items in EconPapers)
Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437107009946
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:2:p:643-652

DOI: 10.1016/j.physa.2007.09.019

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().