,Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled

• 作 者: S.Lakshmanan Ju H.Park Fathalla A.Rihan R.Rakkiyappan
• 机 构: Department of Mathematical Sciences,College of Science,UAE University,Nonlinear Dynamics Group,Depar
• 出 处: Chinese Physics B
• 发表日期: 2014年07期
• 关键词: exponential synchronization impulsive effect leakage delay sampled-data feedb

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.

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.