分布式合作优化及其应用  

Distributed cooperative optimization and its applications

作　　者：衣鹏[1] 洪奕光[1] 

机构地区：[1]中国科学院数学与系统科学研究院系统控制重点实验室,北京100190

出　　处：《中国科学：数学》2016年第10期1547-1564,共18页Scientia Sinica：Mathematica

基　　金：国家自然科学基金(批准号:61333001);北京市自然科学基金(批准号:4152057)资助项目

摘　　要：本文对近年来国内外系统控制领域中的热点研究问题之一—分布式优化算法及其应用进行了简明的介绍,分别从优化问题提法、信息分享模型、优化算法设计和优化应用研究四个角度对分布式优化的理论研究结果进行了梳理.通过这种系统化整理和多角度介绍,本文在以上四个维度上基本呈现了国内外分布式优化理论研究的现状,并给出了对该领域发展的一些浅见.特别地,为了强调国内学者的贡献,本文虽无法全面但仍着重地介绍了国内有关学者在该领域的研究成果.In this paper, we give a brief review of recent achievement of distributed optimization algorithm and its applications, which receive more and more research attention in systems and control areas. To provide a clear picture about the distributed optimization theory, we start with the introduction of multi-agent optimization models, and moreover, show information sharing models based on network topologies. Then we focus on the design of distributed algorithms and finally give brief descriptions about their applications. The objective of the paper is to present an overall view of the theoretical research on distributed optimization from the above four aspects, and also to provide brief remarks about its future developments. Also, we particularly emphasize some technical contributions of Chinese scholars in distributed optimization, even though we cannot cover all of them for space limitations.

关 键 词：分布式优化 多智能体系统 网络系统优化 信息-物理系统 合作控制 

分 类 号：O224[理学—运筹学与控制论]