Impulsive Control and Synchronization for Delayed Neural Networks With Reaction–Diffusion Terms
Impulsive Control and Synchronization for Delayed Neural Networks With Reaction–Diffusion Terms
复制标题
DOI：
10.1109/tnn.2009.2034318
复制
发表时间：
2010
影响因子：
--
通讯作者：
Cheng Hu;Haijun Jiang;Z. Teng
中科院分区：
文献类型：
--
作者：
Cheng Hu;Haijun Jiang;Z. Teng
讨论了脉冲控制下具有Dirichlet边界条件的时滞反应扩散神经网络在p-范数意义下的全局指数稳定性和同步性，指出了具有Dirichlet边界条件的时滞反应扩散神经网络不存在除原点外的常平衡点.得到了一些新的和有用的条件依赖于扩散系数，以保证全球指数稳定性和同步的神经网络下，我们假设的脉冲控制器。最后，通过数值算例验证了所提控制方法的有效性.
This paper discuss the global exponential stability and synchronization of the delayed reaction-diffusion neural networks with Dirichlet boundary conditions under the impulsive control in terms of p-norm and point out the fact that there is no constant equilibrium point other than the origin for the reaction-diffusion neural networks with Dirichlet boundary conditions. Some new and useful conditions dependent on the diffusion coefficients are obtained to guarantee the global exponential stability and synchronization of the addressed neural networks under the impulsive controllers we assumed. Finally, some numerical examples are given to demonstrate the effectiveness of the proposed control methods.