Hu Cheng, Yu Juan, Jiang Haijun, Teng Zhidong
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China.
IEEE Trans Neural Netw. 2011 Dec;22(12):1999-2010. doi: 10.1109/TNN.2011.2167759. Epub 2011 Oct 10.
In this paper, the exponential synchronization for a class of complex networks with finite distributed delays coupling is studied via periodically intermittent control. Some novel and useful criteria are derived by utilizing a different technique compared with some correspondingly previous results. As a special case, some sufficient conditions ensuring the exponential synchronization for a class of coupled neural networks with distributed delays are obtained. Furthermore, a feasible region of the control parameters is derived for the realization of exponential synchronization. It is worth noting that the synchronized state in this paper is not an isolated node but a non-decoupled state, in which the inner coupling matrix and the degree of the nodes play a central role. Additionally, the traditional assumptions on control width, non-control width, and discrete delays are removed in our results. Finally, some numerical simulations are given to demonstrate the effectiveness of the proposed control method.
本文通过周期性间歇控制研究了一类具有有限分布时滞耦合的复杂网络的指数同步问题。与一些先前相应的结果相比,利用一种不同的技术推导出了一些新颖且有用的准则。作为一个特殊情况,得到了确保一类具有分布时滞的耦合神经网络指数同步的一些充分条件。此外,还推导了用于实现指数同步的控制参数的可行区域。值得注意的是,本文中的同步状态不是一个孤立节点,而是一个非解耦状态,其中内部耦合矩阵和节点度起着核心作用。另外,我们的结果中去除了关于控制宽度、非控制宽度和离散时滞的传统假设。最后,给出了一些数值模拟来证明所提出控制方法的有效性。