Finite-time synchronization of competitive neural networks with mixed delays

Tingting  Su; Xinsong  Yang

doi:10.3934/dcdsb.2016115

Article Contents

2016, Volume 21, Issue 10: 3655-3667. Doi: 10.3934/dcdsb.2016115

This issue Previous Article Weak stability for integro-differential inclusions of diffusion-wave type involving infinite delays Next Article On the upper semicontinuity of pullback attractors for multi-valued noncompact random dynamical systems

Finite-time synchronization of competitive neural networks with mixed delays

Tingting Su^1, and
Xinsong Yang^1,

1.
Department of Mathematics, Chongqing Normal University, Chongqing 401331

Received: August 31, 2014

Revised: February 29, 2016

Published: November 2016

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Abstract

In this paper, finite-time synchronization of competitive neural networks (CNNs) with bounded time-varying discrete and distributed delays (mixed delays) is investigated. A simple controller is added to response (slave) system such that it can be synchronized with the driving (master) CNN in a setting time. By introducing a suitable Lyapunov-Krasovskii's functional and utilizing some inequalities, several sufficient conditions are obtained to ensure the control object. Moreover, the setting time is explicitly given. Different from previous results, the setting is related to both the initial value of error system and the time delays. Finally, numerical examples are given to show the effectiveness of the theoretical results.

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Mathematics Subject Classification: Primary: 34H10, 93B52; Secondary: 34K35, 37N35, 34D06.

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