动态复杂网络同步优化研究

项目名称： 动态复杂网络同步优化研究

项目编号： No.61273220

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 丰建文

作者单位： 深圳大学

项目金额： 82万元

中文摘要： 动态复杂网络在自然和社会中普遍存在, 对其研究受到科学界广泛关注, 特别是随着以互联网为代表的网络信息技术迅猛发展,它已成为近年来研究热点课题之一。本项目将结合复杂网络、动力系统、现代控制、最优化理论等的相关知识深入研究复杂网络同步能力的最大化和同步优化问题。综合考虑复杂动态网络中节点动力学、耦合方式、时滞、随机噪声等因素，定量地探讨网络同步能力的最大化和成本的最小化与网络特征量间之间的关系；设计较为简单的控制器在实现网络同步的同时来确定由同步过程所反映的控制节点数、反馈控制增益、耦合强度等之间关系的动态目标函数，运用进化算法求解获得到相关量的优化值，同时关注到同步过程和同步时间，并将这些方法应用到复杂网络的聚类同步优化之中。这些研究为当前复杂网络研究注入新的活力，同时为分析现实复杂网络的动力学行为、理解结构和动力学行为之间的关系、并最终为实现对现实网络的行为控制提供坚实的理论依据 。

中文关键词： 复杂动态网络；牵制控制；同步优化；时滞与噪声；

英文摘要： Dynamical complex networks have been widely studied nowadays because of their frequent appearance in both science and social areas. Especially, with the well development of networking and information technology such as the Internet, it becomes a hot topic in the science and technology communities. This project aims to investigate the maximization problems of synchronization abilities and the synchronization optimization problems in complex networks by applying the theories of complex networks, dynamic systems, modern control theories and optimization theories, etc. Considering the factors in the dynamical complex networks such as node dynamics, patterns of coupling, time delays and stochastic noises, we propose to quantificationally analyze the relationship of the maximum performance and the minimum cost of the synchronization of the complex network and characteristic quantities of the complex network. Concerning the procedures as well as times of synchronization, an objective function involving the synchronization parameters (such as the number of pinned nodes, the feedback control gain and the coupling strength) could be optimized by using an evolutionary algorithm while a simpler controller for synchronization would be designed. The results obtained will then also be applied to the optimization of cluster syn

英文关键词： comple dynamical network；pinning control；synchronization optimization；time delay and noise；