Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 948495, 13 pages
http://dx.doi.org/10.1155/2012/948495
Research Article

Synchronization and Pinning Control in Complex Networks with Interval Time-Varying Delay

1School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
2School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received 24 December 2011; Accepted 16 January 2012

Academic Editor: Teh-Lu Liao

Copyright © 2012 Hai-Feng Jiang and Tao Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The problems on synchronization and pinning control for complex dynamical networks with interval time-varying delay are investigated and two less conservative criteria are established based on reciprocal convex technique. Pinning control strategies are designed to make the complex networks synchronized. Moreover, the problem of designing controllers can be converted into solving a series of NMIs (nonlinear matrix inequalities) and LMIs (linear matrix inequalities), which reduces the computation complexity when comparing with those present results. Finally, numerical simulations can verify the effectiveness of the derived methods.