Research PaperNo Access

Practical synchronization of nonautonomous chaotic systems with parameter mismatch via event-triggered control

Wenlan Qiu

School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, P. R. China

E-mail Address: 1258517804@qq.com

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and

Jianping Cai

School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, P. R. China

E-mail Address: zsucjp@sina.com

Corresponding author.

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https://doi.org/10.1142/S0129183122501157Cited by:4 (Source: Crossref)

Abstract

Practical synchronization between two $n$ -dimensional nonautonomous chaotic systems is achieved by the method of event-triggered control in the case of parameter mismatch. This study focuses on parameter mismatch and its effect on synchronization performance. The synchronization criterion is deduced in the form of linear matrix inequality. The synchronization error bound is analytically estimated, which can reveal the relationships between the synchronization error and the parameters. It is proven that there exists a lower bound for the inter-event times between two event-triggered moments, which means no Zeno behavior will occur in this control scheme. The obtained results are applied to a gyrostat system. Subsequently, numerical simulations demonstrate the effectiveness of the control strategy.

Keywords:

PACS: 05.45.Xt, 05.45.Gg

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