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Adaptive Synchronization of Time Delay Chaotic Systems with Uncertain and Unknown Parameters via Aperiodically Intermittent Control

Yuangan Wang*, Xingpeng Zhang, Liping Yang, and Hong Huang
International Journal of Control, Automation, and Systems, vol. 18, no. 3, pp.696-707, 2020

Abstract : Time delay and uncertainty are the two common phenomena in nonlinear systems, which seriously influence the control and synchronization of nonlinear systems. In this paper, an adaptive intermittent control strategy is proposed to realize the synchronization of time delay chaotic systems with uncertain and unknown parameters. For the uncertain and unknown parameters, some sufficient conditions for complete synchronization are derived based on the stability theory. In the part of numerical simulation, two cases of linear and non-linear delay are discussed, which both show the effectiveness of the theoretical results.

Keyword : Adaptive intermittent control, synchronization, time delay, uncertain, unknown parameters.

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