4.5 Article

A new method for exponential synchronization of chaotic delayed systems via intermittent control

Journal

PHYSICS LETTERS A
Volume 374, Issue 19-20, Pages 2024-2029

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2010.02.069

Keywords

Exponential synchronization; Chaotic systems; Intermittent control

Funding

  1. National Natural Science Foundation of China [60774039, 60974024]
  2. GRF [9360127, 101109]

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This Letter deals with the exponential synchronization problem of coupled chaotic systems with time delay by means of periodically intermittent feedback control. Different from the differential inequality approach adopted in the previous literature, we resort to the Lyapunov-Razumikhin methodology in order to derive a new exponential synchronization criterion for delayed chaotic systems. Furthermore, all the constraints imposed in these references are removed and no transcendental equation is involved. Therefore, the application scope is enlarged and the result is computationally efficient for the obtained condition. Two kinds of chaotic systems, Ikeda and Lu systems, are provided to demonstrate our theoretical results and the superiority over the existing ones. (C) 2010 Elsevier B.V. All rights reserved.

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