大系统控制论与复杂网络——探索与思考

Large-scale Systems Control and Complex Networks — Exploration and Thinking

随着通信技术和网络技术的飞速发展,在社会、经济乃至日常生活领域中,出现了越来越多的复杂动态网络.网络科学作为一门新兴的交叉学科,对复杂动态网络性能特征、演化进程和控制方法的研究已取得了丰富的成果.大系统控制论以高维动态大系统的行为分析和控制优化为主要研究内容,应该能为复杂网络的研究提供有益的借鉴.本文针对复杂动态网络研究的一些热点问题,探索了用大系统控制理论和方法解决复杂网络结构分析和控制的可能性,分析了面临的困难和应对的思路.针对大规模复杂动态网络的控制和优化,提出了集网络科学的宏观分析方法、控制科学的定量设计方法和信息科学的智能处理方法于一体的多层递阶结构.

With the rapid development of communication and network technology, more and more complex dynamic networks appear in the fields of social, economic and human＇s daily life. Network science as a new interdisciplinary subject has gained great achievements in the research on performance characteristic, evolution process and control method of complex dynamic networks. The control theory and methodology of large scale systems, aiming at the behavior analysis, control and optimization for high dimensional dynamic systems, should be able to provide a helpful reference for the study of complex networks. In this paper, against some hotspot problems in the research of complex dynamic networks, we explore the possibility of using the control theory and methodology of large scale systems to solve the structural analysis and control problems of complex networks, analyze the facing difficulties and the possible coping ways. For control and optimization of large scale complex dynamic networks, a multi-layer hierarchical structure is proposed which integrates the macroscope analysis methods of network science, the quantitative design methods of control science and the intelligent processing methods of information science.