Synchronization of Inertial Neural Networks with Time-Varying Delays

This paper addresses the synchronization problem for inertial neural networks with time-varying delay. By using a proper variable substitution to transform the original system into a first-order differential system, constructing the Lyapunov-Krasovskii functional( LKF) containing the Kronecker produ...

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Bibliographic Details
Main Author: LU Shuang;GAO Yanbo
Format: Article
Language:English
Published: Editorial Department of Journal of Nantong University (Natural Science Edition) 2020-03-01
Series:Nantong Daxue xuebao. Ziran kexue ban
Subjects:
Online Access:https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_d8baa2dc-db2c-4da4-af14-964941eff39a
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Summary:This paper addresses the synchronization problem for inertial neural networks with time-varying delay. By using a proper variable substitution to transform the original system into a first-order differential system, constructing the Lyapunov-Krasovskii functional( LKF) containing the Kronecker product of matrices, applying Jensen inequality, the reciprocally convex inequality and the linear matrix inequality( LMI) technique to estimate the derivative of the LKF, a novel synchronization criterion in terms of LMIs is obtained, and a design method for the error feedback controller is presented based on the synchronization criterion. And a numerical simulation example shows the effectiveness of the proposed results.
ISSN:1673-2340