4.5 Article

Synchronization between two non-autonomous chaotic systems via intermittent control of sinusoidal state error feedback

Journal

OPTIK
Volume 130, Issue -, Pages 455-463

Publisher

ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2016.10.075

Keywords

Chaos synchronization; Intermittent control; Sinusoidal state error feedback; Gerschgorin disc theorem

Categories

Funding

  1. Natural Science Foundation of Zhangzhou [ZZ2016J33]
  2. National Natural Science Foundation of China [61603174]
  3. Training Programme Foundation for Excellent Youth Researching Talents of Fujian's Universities [2001B11540]

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A new intermittent control way, namely sinusoidal state error feedback, is adopted to synchronize two non-autonomous chaotic systems. Some synchronization criteria are deduced by the Lyapunov stability theory and the Gerschgorin disc theorem. The relationships among the control gain, control period and control width are revealed, and their influences on synchronization are also discussed. The Mathieu-Duffing equation and a gyrostat system are chosen as numerical examples to show that synchronization can be achieved under the proposed criteria. (C) 2016 Elsevier GmbH. All rights reserved.

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