博弈控制论简述

A survey on game theoretical control

中文关键词  博弈控制论  多目标优化  势函数  纳什均衡  信息物理系统

英文关键词  game theoretic control  multi-object optimization  potential function  Nash equilibrium  cyber-physical system

中文摘要

      博弈控制论是近年来出现的博弈与控制的交叉学科, 虽然它融合了博弈和控制双方的工具和方法, 但无论从研 究对象, 研究方法与现有的结论看, 它都不完全从属于经典博弈或经典控制的范畴, 因此, 是一个具有自身特色的新学 术生长点. 本文的目的是对这个新方向做一个简述介绍, 内容包括: i) 基于博弈的控制; ii) 基于势博弈的优化; iii) 博弈 中的状态空间方法; iv) 国内几个研究博弈控制论的团队. 最后, 对博弈控制论的未来做一展望.

英文摘要

      The game theoretic control is a newly merged cross discipline of game theory and control theory. It combines the tools and methods from both game theory and control theory. One sees from the object, research method and the known results that the game theoretic control belongs neither classical game theory nor classical control theory. Hence, it is a new academic growing point with significant characteristics. The purpose of this paper is to give a survey on this new research direction. The content of this paper contains i) game-based control; ii) potential game based system optimization; iii) state space approach to evolutionary game; iv) some domestic research groups on game theoretic control. Finally, some predictions on game theoretic control are presented.