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Mathematical Problems in Engineering
Volume 2015, Article ID 785861, 14 pages
Research Article

Chaotic Tolerant Synchronization Analysis with Propagation Delay and Actuator Faults

Department of Mathematics, Heze University, Heze, Shandong 274015, China

Received 20 June 2015; Accepted 24 August 2015

Academic Editor: Laura Gardini

Copyright © 2015 Zhang Qunli. 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.


The criteria for tolerant synchronization with a constant propagation delay and actuator faults are presented by using matrix analysis techniques. A new algorithm, which constructs the extended error systems in order to make the conservation of the stability lower, is proposed. Based on proper Lyapunov-Krasovskii functional, the novel delay-dependent fault tolerant synchronization analyses are derived. Finally, numerical examples show the effectiveness of the proposed method.