Fixed/Preassigned Time Synchronization of Impulsive Fractional-Order Reaction-Diffusion Bidirectional Associative Memory (BAM) Neural Networks

被引：0
|
作者：
Mahemuti, Rouzimaimaiti [1 ]
Abdurahman, Abdujelil [2 ]
Muhammadhaji, Ahmadjan [2 ]
机构：
[1] Guangzhou Coll Commerce, Sch Informat Technol & Engn, Guangzhou 511363, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2025年 / 9卷 / 02期
基金：
中国国家自然科学基金;
关键词：
fractional-order; impulse effect; fixed-time synchronization; predefined-time synchronization; VARYING DELAYS; STABILITY; STABILIZATION;
D O I：
10.3390/fractalfract9020088
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study delves into the synchronization issues of the impulsive fractional-order, mainly the Caputo derivative of the order between 0 and 1, bidirectional associative memory (BAM) neural networks incorporating the diffusion term at a fixed time (FXT) and a predefined time (PDT). Initially, this study presents certain characteristics of fractional-order calculus and several lemmas pertaining to the stability of general impulsive nonlinear systems, specifically focusing on FXT and PDT stability. Subsequently, we utilize a novel controller and Lyapunov functions to establish new sufficient criteria for achieving FXT and PDT synchronizations. Finally, a numerical simulation is presented to ascertain the theoretical dependency.
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页数：19
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