Synchronisation control of composite chaotic systems

Jindao Zha, Chunbiao Li, Bing Song and Wen Hu

International Journal of Systems Science, 2016, vol. 47, issue 16, 3952-3959

Abstract: Synchronisation conditions are studied for composite chaotic systems with complex compound structure and the signum function based on the theorem of zero-solution stability for a class of linear time-varying systems with countable discontinuous points. The synchronisation controller and its gain range are deduced according to the stability theorem, where the gain of the controller can speed synchronisation. Numerical simulation further proves the control theory and the validity of the synchronisation controller. The proposed controller can be widely applied in those chaotic systems with switch functions or other hybrid chaotic systems.

Date: 2016
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DOI: 10.1080/00207721.2016.1157224

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