南方科技大学知识苑(SUSTech KC): Stochastic Synchronization of Impulsive Reaction-Diffusion BAM Neural Networks at a Fixed and Predetermined Time

题名	Stochastic Synchronization of Impulsive Reaction-Diffusion BAM Neural Networks at a Fixed and Predetermined Time
作者	Mahemuti, Rouzimaimaiti 1,2; Kasim, Ehmet 3; Sadik, Hayrengul 3
通讯作者	Mahemuti, Rouzimaimaiti
发表日期	2024-04-01
DOI	10.3390/math12081204
发表期刊	MATHEMATICS 影响因子和分区
EISSN	2227-7390
卷号	12 期号:8
摘要	This paper discusses the synchronization problem of impulsive stochastic bidirectional associative memory neural networks with a diffusion term, specifically focusing on the fixed-time (FXT) and predefined-time (PDT) synchronization. First, a number of more relaxed lemmas are introduced for the FXT and PDT stability of general types of impulsive nonlinear systems. A controller that does not require a sign function is then proposed to ensure that the synchronization error converges to zero within a predetermined time. The controllerdesigned in this paper serves the additional purpose of preventing the use of an unreliable inequality in the course of proving the main results. Next, to guarantee FXT and PDT synchronization of the drive-response systems, this paper employs the Lyapunov function method and derives sufficient conditions. Finally, a numerical simulation is presented to validate the theoretical results.
关键词	diffusion term impulse effect stochastic perturbations predefined-time synchronization fixed-time synchronization
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	Fund of the Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001210357100001
出版者	MDPI
来源库	Web of Science
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/788519
专题	南方科技大学
作者单位	1.Guangzhou Coll Commerce, Sch Informat Technol & Engn, Guangzhou 511363, Peoples R China 2.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Peoples R China 3.Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
第一作者单位	南方科技大学
通讯作者单位	南方科技大学
推荐引用方式 GB/T 7714	Mahemuti, Rouzimaimaiti,Kasim, Ehmet,Sadik, Hayrengul. Stochastic Synchronization of Impulsive Reaction-Diffusion BAM Neural Networks at a Fixed and Predetermined Time[J]. MATHEMATICS,2024,12(8).
APA	Mahemuti, Rouzimaimaiti,Kasim, Ehmet,&Sadik, Hayrengul.(2024).Stochastic Synchronization of Impulsive Reaction-Diffusion BAM Neural Networks at a Fixed and Predetermined Time.MATHEMATICS,12(8).
MLA	Mahemuti, Rouzimaimaiti,et al."Stochastic Synchronization of Impulsive Reaction-Diffusion BAM Neural Networks at a Fixed and Predetermined Time".MATHEMATICS 12.8(2024).