Global Mittag-Leffler Synchronization of Coupled Delayed Fractional Reaction-Diffusion Cohen-Grossberg Neural Networks via Sliding Mode Control

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 7 in Analysis and Control for Fractional-order Systems, 2024, pp 121-140 from Springer

Abstract: Abstract This chapter studies the sliding mode control method for coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks on a directed non-strongly connected topology. A novel fractional integral sliding mode surface and the corresponding control law are designed to realize the global Mittag-Leffler synchronization. The sufficient conditions for synchronization and the reachability of the sliding mode surface are derived via hierarchical and the Lyapunov method. Finally, simulations are given to verify our theoretical findings.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-99-6054-5_7

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DOI: 10.1007/978-981-99-6054-5_7

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