Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 57; no. 8; pp. 2182 - 2195
• Main Authors: Guan, Zhi-Hong, Liu, Zhi-Wei, Feng, Gang, Wang, Yan-Wu
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2010; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Complex dynamical networks; control topology; Convergence; Delay; Delay effects; Delay systems; Distributed control; Dynamical systems; Dynamics; global exponential synchronization; impulsive distributed control; Joining; Network topology; Networks; Power engineering and energy; Power grids; Power system modeling; Synchronism; Synchronization; Systems engineering and theory; time delay; Time varying systems; Topology
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2009.2037848

In this paper, the synchronization of complex dynamical networks (CDNs) with system delay and multiple coupling delays is studied via impulsive distributed control. The concept of control topology is introduced to describe the whole controller structure, which consists of some directed connections between nodes. The control topology can be designed either to be the same as the non-delayed coupling topology of the network, or to be independent of the intrinsic network topology. Based on the concept of control topology, an impulsive controller is designed to achieve the exponential synchronization of CDNs, and moreover, the exponential convergence rate can be specified. Illustrated examples have been given to show the effectiveness of the proposed impulsive distributed control strategy.