Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control

doi:10.1088/1674-1056/23/7/070205

Abstract We consider the impulsive effect on the exponential synchronization of neural networks with leakage delay under the sampled-data feedback control. We use an appropriate Lyapunov-Krasovskii functional combined with the input delay approach and some inequality techniques to derive sufficient conditions that ensure the exponential synchronization of the delayed neural network. The conditions are formulated in terms of the leakage delay, the sampling period, and the exponential convergence rate. Numerical examples are given to demonstrate the usefulness and the effectiveness of the results.

Keywords: exponential synchronization impulsive effect leakage delay sampled-data feedback

Received: 20 November 2013
Revised: 22 December 2013
Accepted manuscript online:

PACS:	02.30.Ks	(Delay and functional equations)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. 2013R1A1A2A10005201) and the UAE University (Grant No. NRF Project UAEU-NRF-7-20886).

Corresponding Authors: Ju H. Park
E-mail: jessie@ynu.ac.kr

About author: 02.30.Ks; 05.45.Gg

Cite this article:

S. Lakshmanan, Ju H. Park, Fathalla A. Rihan, R. Rakkiyappan Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control 2014 Chin. Phys. B 23 070205

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Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control

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