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

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

中国物理B ›› 2014, Vol. 23 ›› Issue (7): 70205-070205.doi: 10.1088/1674-1056/23/7/070205

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

S. Lakshmanan^{a b}, Ju H. Park^b, Fathalla A. Rihan^a, R. Rakkiyappan^c

a Department of Mathematical Sciences, College of Science, UAE University, 17551, Al Ain, UAE;
b Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Republic of Korea;
c Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India

收稿日期:2013-11-20 修回日期:2013-12-22 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
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).

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

S. Lakshmanan^{a b}, Ju H. Park^b, Fathalla A. Rihan^a, R. Rakkiyappan^c

a Department of Mathematical Sciences, College of Science, UAE University, 17551, Al Ain, UAE;
b Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Republic of Korea;
c Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India

Received:2013-11-20 Revised:2013-12-22 Online:2014-07-15 Published:2014-07-15
Contact: Ju H. Park E-mail:jessie@ynu.ac.kr
About author:02.30.Ks; 05.45.Gg
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: exponential synchronization, impulsive effect, leakage delay, sampled-data feedback

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.

Key words: exponential synchronization, impulsive effect, leakage delay, sampled-data feedback

中图分类号: (Delay and functional equations)

02.30.Ks

05.45.Gg (Control of chaos, applications of chaos)

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[J]. 中国物理B, 2014, 23(7): 70205-070205.

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

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

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