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Different control strategies for predefined-time synchronisation of nonidentical chaotic systems

El Abed Assali

International Journal of Systems Science, 2024, vol. 55, issue 1, 119-129

Abstract: Control and synchronisation of chaotic systems have received much attention due to their various potential applications. In this paper, the predefined-time master–slave synchronisation of two chaotic systems is investigated. With the help of two different predefined-time stability theorems, two controllers are designed to achieve the predefined-time synchronisation of two nonidentical chaotic systems. Then based on inequality techniques and a Lyapunov function, some new sufficient criteria are obtained to ensure that two nonidentical chaotic systems achieve predefined-time synchronisation. Finally, numerical examples are given to show the effectiveness of our new results.

Date: 2024
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DOI: 10.1080/00207721.2023.2268771

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