Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback

Authors:
Xiaodi Li;Martin Bohner
Affiliations:
Xiamen University, School of Mathematical Sciences, Xiamen 361005, PR China;Missouri University of Science and Technology, Department of Mathematics and Statistics, Rolla, MO 65409-0020, USA
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

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Abstract

In this paper, we deal with the exponential synchronization problem for a class of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. The mixed delays in this paper include time-varying delays and unbounded distributed delays. By using a Lyapunov-Krasovskii functional, a drive-response concept and a linear matrix inequality (LMI) approach, several sufficient conditions are established that guarantee the exponential synchronization of the neural networks. Also, the estimation gains can be easily obtained. Finally, a numerical example and its simulation are given to show the effectiveness of the obtained results.