Study of finite-time synchronization between memristive neural networks with leakage and mixed delays

被引：7

作者：

Shukla, Vijay K. ^{[1
]}

Fekih, Afef ^{[2
]}

Joshi, Mahesh C. ^{[3
]}

Mishra, Prashant K. ^{[4
]}

机构：

[1] Shiv Harsh Kisan PG Coll, Dept Math, Basti 272001, India

[2] Univ Louisiana Lafayette, Dept Elect & Comp Engn, Lafayette, LA USA

[3] Kumaun Univ, Dept Math, DSB Campus, Naini Tal 263001, Uttarakhand, India

[4] Jai Prakash Univ, Dept Math, PC Vigyan Mahavidyalaya, Chapra 841301, India

来源：

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 05期

关键词：

Finite-time synchronization; Leakage delay; Mixed delay; Memristive neural network; EXPONENTIAL STABILITY; PERIODIC SYNCHRONIZATION; ROBUST SYNCHRONIZATION; VARYING DELAYS; DISCRETE;

D O I：

10.1007/s40435-023-01252-z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article investigates the finite-time synchronization (FTS) of memristive neural networks (MNNs) with leakage and mixed delays by using state feedback and adaptive control techniques. The solution of all the systems has been obtained in the Filippov sense using theories of differential inclusion and set-valued maps. To assure the synchronization of memristive neural networks, a few sufficient conditions based on the Filippov solution and Lyapunov functional technique rather than the finite-time stability theorem have been obtained. In order to achieve synchronization within finite time, a discontinuous state feedback controller has been constructed, and settling time has been determined explicitly. A novel adaptive controller has been constructed to minimize the control gain. The numerical examples authenticate the efficacy of the theoretic outcomes.

引用

页码：1541 / 1553

页数：13

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