Hyperchaos synchronization using univariate impulse control.

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ID: 92406
2019
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Abstract
Rössler and Chen systems with time delay are shown to be hyperchaotic, which exhibits a more complex dynamics, including multiple positive Lyapunov exponents and infinite dimension. The hyperchaos has better application potential where hyperchaos synchronization is concerned. Univariate impulse control requires smaller perturbation to the response system, thus promising better performance. However, synchronization of two hyperchaotic systems using this control method is a challenging task due to the difficulty to guarantee synchronization stability using a minimum number of manipulated variables. In this paper, a univariate impulse control method is proposed for the synchronization of two hyperchaotic dynamics generated by time delay. A theorem is developed and proved to provide the sufficient conditions for the synchronization of time delay systems using the univariate impulse control. The upper bound of the impulse interval is proved to guarantee the asymptotic synchronization. Simulation and circuit experiment show the correctness of the analysis and the feasibility of the proposed method.
Reference Key
tian2019hyperchaosphysical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Tian, Kun;Bai, Chao;Ren, Hai-Peng;Grebogi, Celso;
Journal physical review e
Year 2019
DOI
10.1103/PhysRevE.100.052215
URL
Keywords
locomotion central pattern generator gait rhythm control subliminal gait adaptation

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