Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations

被引：34
作者：
Duan, Lian [1 ]
Shi, Min [1 ]
Huang, Chuangxia [2 ,3 ]
Fang, Xianwen [1 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
[3] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 142卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Complex-valued neural network; Discontinuous activation; Reaction-diffusion; Finite-/fixed-time synchronization; EXPONENTIAL STABILITY; GLOBAL STABILITY; VARYING DELAYS; SYSTEMS;
D O I：
10.1016/j.chaos.2020.110386
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we analyze the finite-time synchronization problem between two delayed diffusive complex-valued neural networks(CVNNs) with discontinuous activations. We first establish the threshold finite-/fixed-time synchronization(FFTS) dynamics of the model by designing a novel negative exponent controller. Then we further study the finite-time synchronization via the adaptive control scheme. Some novel and useful finite-time synchronization criteria are established based on the discontinuous version of finite-time convergence theorem and Filippov regularization techniques, the upper-bound of the settling time is explicitly estimated as well. The obtained results extend some previous ones on CVNNs. Moreover, numerical simulations are performed to substantiate the effectiveness of the theoretical analysis. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：12
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