Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, PR China.
Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, PR China.
ISA Trans. 2014 Jul;53(4):1015-23. doi: 10.1016/j.isatra.2014.03.005. Epub 2014 Apr 5.
This paper is concerned with the global exponential synchronization for an array of hybrid coupled neural networks with leakage delay, time-varying discrete and distributed delays. By employing a novel augmented Lyapunov-Krasovskii functional (LKF), applying the theory of Kronecker product of matrices, Barbalat׳s Lemma and the technique of linear matrix inequality (LMI), delay-dependent sufficient conditions are obtained for the global exponential synchronization of the system. As an extension, robust synchronization criteria are derived for the corresponding system with parameter uncertainties. Some examples are given to show the effectiveness of the obtained theoretical results.
本文研究了具有泄漏时滞、时变离散和分布时滞的混合耦合神经网络的全局指数同步问题。通过采用一种新的增广 Lyapunov-Krasovskii 泛函（LKF），应用矩阵 Kronecker 积理论、Barbalat 引理和线性矩阵不等式（LMI）技术，得到了系统全局指数同步的时滞相关充分条件。作为扩展，针对具有参数不确定性的相应系统，推导出了鲁棒同步准则。给出了一些实例来说明所得到的理论结果的有效性。
