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

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成果类型:
期刊论文
作者:
Duan, Lian*;Shi, Min;Huang, Chuangxia;Fang, Xianwen
通讯作者:
Duan, Lian
作者机构:
[Fang, Xianwen; Duan, Lian; Shi, Min] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China.
[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
[Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Duan, Lian] A
Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China.
语种:
英文
关键词:
Complex-valued neural network;Discontinuous activation;Reaction-diffusion;Finite-/fixed-time synchronization
期刊:
CHAOS SOLITONS & FRACTALS
ISSN:
0960-0779
年:
2021
卷:
142
页码:
110386
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11701007, 11971076]; Anhui Provincial Natural Science FoundationNatural Science Foundation of Anhui Province [1808085QA01]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [2018M640579]; Postdoctoral Science Foundation of Anhui Province [2019B329]; Study Abroad Project of Ministry of Science and Technology of China [P193999002]; Innovation Foundation for Postgraduate of AUST [2019CX2067]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
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...

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