LMI synchronization conditions for variable fractional-order one-sided Lipschitz chaotic systems with gain fluctuations

Liping Chen, Chuang Liu, António M. Lopes, Yong Lin, Yingxiao Liu and YangQuan Chen

Chaos, Solitons & Fractals, 2024, vol. 189, issue P1

Abstract: This article addresses the synchronization of general variable fractional-order one-sided Lipschitz chaotic systems with norm-bounded time-varying parametric uncertainty. A non-fragile state feedback control scheme is designed to cope with uncertainties in the controller gain fluctuations, and a sufficient condition for master/slave synchronization and determination of the controller gain is derived and expressed as a linear matrix inequality. The new control approach is applicable to fractional-order Lipschitz chaotic systems as well as to integer-order systems. Additionally, compared with other existing schemes, the method is easier and less costly to implement in real-world applications. Three numerical examples are given to show the performance of the non-fragile control approach for synchronizing practical chaotic systems.

Keywords: Variable fractional-order system; Chaotic system; One-sided Lipschitz; Synchronization control; Gain fluctuation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012475

DOI: 10.1016/j.chaos.2024.115695

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