多网络耦合系统的鲁棒牵制同步控制方法研究

项目名称： 多网络耦合系统的鲁棒牵制同步控制方法研究

项目编号： No.61473073

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 自动化技术、计算机技术

项目作者： 任涛

作者单位： 东北大学

项目金额： 76万元

中文摘要： 当前关于复杂网络的研究主要集中在对单个网络的动力学行为进行分析，然而，实际上，我们处于多个不同网络相互耦合的世界中，单个网络无法真实全面地反映客观世界，因此，针对多网络耦合系统的研究正逐渐引起人们的关注。从网络同步的角度来讲，多个相互耦合网络的同步现象十分常见，对其同步控制的研究更是具有理论意义和实际应用价值。本项目拟针对多网络耦合系统（同一网络由相同节点构成，不同网络之间的节点不同，并且考虑现实中节点间连接的有向性以及节点之间的竞争、合作关系）建立数学模型，并设计鲁棒（牵制）同步控制策略确保多网络耦合连接出现测量误差，受到扰动或出现故障时仍能实现各网络内部的同步，并给出牵制节点的选取规则，建立多网络仿真实验平台，为多网络同步控制的实际应用做前期准备。本项目拟开展的研究工作，完全从多网络耦合系统实际应用中存在的问题出发，为多网络鲁棒同步控制的应用做出有益的尝试和探索。

中文关键词： 多网络耦合；复杂网络；同步控制；牵制控制；鲁棒控制

英文摘要： Recently, the researches for complex network focus on the analysis of network dynamics, however, we are in a system composed by multiple non-identical networks. The single network model can not reflect the whole world accurately, so the research for multiple coupled networks has received increasing attention. The synchronization of multiple coupled networks is very common from the view point of complex network synchronization, and it is very significant in both theory research and application. In this plan, the multiple coupled networks system is concerned, where the local dynamics in each network is identical but that of different networks is non-identical. The directed connections and both the competitive and cooperative couplings are concerned. The model of the multiple coupled networks will be established firstly and then the robust (pinning) controller is designed to achieve the synchronization for multiple coupled networks with measurement error, disturbances or faults in the connections between different networks. The strategy for choosing pinning nodes will be given. Finally, the simulation platform will be established for the application of multiple coupled networks in the near future. The researches to be developed are based on the practical problems, undoubtedly, the project is a beneficial attempt and exploration to the application for the robust synchronization control of multiple coupled networks.

英文关键词： Multiple coupled networks;Complex netwrok;Synchronization control;Pinning control;Robust control