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

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Chen, LP (Author) Other; Liu, C (Author) Other; António Mendes Lopes (Author) FEUP; Lin, Y (Author) Other; Liu, YX (Author) Other; Chen, YQ (Author) Other

Journal

Title: Chaos, Solitons & Fractals

Vol. 189

ISSN: 0960-0779

Indexing

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Other information

Authenticus ID: P-017-AFK

DOI: 10.1016/j.chaos.2024.115695

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8