Pinning adaptive synchronization of a general complex dynamical network
Pinning adaptive synchronization of a general complex dynamical network
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一般复杂动态网络的固定自适应同步
DOI：
10.1016/j.automatica.2007.08.016
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发表时间：
2008-04-01
期刊：
影响因子：
6.4
通讯作者：
Lu, Jinhu
中科院分区：
文献类型：
--
作者：
Zhou, Jin;Lu, Jun-an;Lu, Jinhu
固定对复杂网络的控制时，有两个具有挑战性的基本问题：（i）固定网络结构和耦合强度的网络应固定以达到网络同步？ （ii）应应用固定网络结构和固定节点的网络来实现网络同步？为了解决这两个问题，我们提出了一个通用的复杂动力网络模型，然后进一步研究其固定自适应同步。基于此模型，我们达到了几个新颖的自适应同步标准，这确实给了这两个问题的积极答案。也就是说，我们提供了一个简单的近似公式，用于估计给定的一般复杂动力网络的详细固定节点和耦合强度的大小。在这里，耦合 - 配置矩阵和内部耦合矩阵不一定是对称的。此外，与某些传统控制器相比，我们的固定自适应控制器非常简单。最终给出了一个Barabasi -Albert网络示例，以显示提出的同步标准的有效性。 （c）2007 Elsevier Ltd.保留所有权利。
There are two challenging fundamental questions in pinning control of complex networks: (i) How many nodes should a network with fixed network structure and coupling strength be pinned to reach network synchronization? (ii) How much coupling strength should a network with fixed network structure and pinning nodes be applied to realize network synchronization? To fix these two questions, we propose a general complex dynamical network model and then further investigate its pinning adaptive synchronization. Based on this model, we attain several novel adaptive synchronization criteria which indeed give the positive answers to these two questions. That is, we provide a simply approximate formula for estimating the detailed number of pinning nodes and the magnitude of the coupling strength for a given general complex dynamical network. Here, the coupling-configuration matrix and the inner-coupling matrix are not necessarily symmetric. Moreover, our pinning adaptive controllers are rather simple compared with some traditional controllers. A Barabasi - Albert network example is finally given to show the effectiveness of the proposed synchronization criteria. (c) 2007 Elsevier Ltd. All rights reserved.