Title: Master-slave synchronisation criteria of chaotic neural networks systems with time delay feedback control

Authors: Cuiying Yan; Yang Li; Jianhua Zhang; Jiaqi Hou

Addresses: Hebei University of Science and Technology, 26 Yuxiang Street, Shijiazhuang, 050018, China ' Institute of Information Science and Engineering, Hebei University of Science and Technology, 26 Yuxiang Street, Shijiazhuang, 050018, China ' Institute of Electrical Engineering, Hebei University of Science and Technology, 26 Yuxiang Street, Shijiazhuang, 050018, China ' Institute of Electrical Engineering, Hebei University of Science and Technology, 26 Yuxiang Street, Shijiazhuang, 050018, China

Abstract: In this paper, the synchronisation problem of chaotic neural networks is discussed. Based on the stability theory of dynamic system, the controller is presented to achieve chaos synchronisation. The effect of the time delay in the feedback control on master-slave synchronisation is considered for chaotic neural networks. The controller gain can be achieved based on criteria of delay dependent synchronisation which in form of linear matrix inequalities (LMIs), and achieved by solving a set of LMIs using MATLAB LMI tool box. Two simulation examples are provided to illustrate the effectiveness of the proposed scheme.

Keywords: time delay; chaotic neural networks; master-slave synchronisation; chaos; feedback control; stability theory; dynamical systems; controller design; linear matrix inequalities; LMIs; simulation.

DOI: 10.1504/IJMIC.2015.071892

International Journal of Modelling, Identification and Control, 2015 Vol.24 No.2, pp.149 - 155

Received: 24 Feb 2015
Accepted: 23 Mar 2015
Published online: 22 Sep 2015 *

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