Mittag–Leffler Synchronization of Fractional-Order Memristor-Based Neural Networks with Leakage and Time-Varying Delays

Yonggui Kao, Changhong Wang, Hongwei Xia and Yue Cao
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Yonggui Kao: Harbin Institute of Technology (Weihai), Department of Mathematics
Changhong Wang: Harbin Institute of Technology, School of Astronautics
Hongwei Xia: Harbin Institute of Technology, School of Astronautics
Yue Cao: Harbin Institute of Technology (Weihai), Department of Mathematics

Chapter Chapter 5 in Analysis and Control for Fractional-order Systems, 2024, pp 69-93 from Springer

Abstract: Abstract This chapter is devoted to exploring the Mittag–Leffler synchronization problem of fractional-order memristor-based neural networks (FOMNNs) with time delays via a feedback controller and an adaptive controller, respectively. By applying Filippov theory and Lyapunov functional method, we derived several algebraic sufficient conditions for the global Mittag–Leffler synchronization of FOMNNs. It is worth mentioning that this is the first time to deal with the Mittag–Leffler synchronization problem of FOMNNs by adaptive control method so far. Finally, two numerical examples are provided to show the efficiency of our results.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-99-6054-5_5

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DOI: 10.1007/978-981-99-6054-5_5

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