控制理论与应用2011，Vol.28Issue(1)：1-12,12.
线性系统的同时镇定问题
Simultaneous stabilization of linear systems
摘要
Abstract
Simultaneous stabilization of linear systems is a fundamental issue in system and control theory, and is of theoretical, as well as practical, significance.Current theories and recent developments in the simultaneous stabilization of linear systems are discussed.Firstly, the substance of the simultaneous stabilization of linear systems, the basic research methods and the related results are reviewed.Some well-known problems, including the "champagne problem","Belgian chocolate problem" and "Whiskey problem" are analyzed from the perspectives of theoretical solution and controller design.Based on the development in automated inequality-type theorem proving, some original work on solving these open problems is also presented.Finally, possible future research directions for the simultaneous stabilization of linear systems are given.关键词
线性系统/同时镇定/香槟问题/比利时巧克力问题/威士忌问题/复分析/不等式型定理/机器证明/半代数系统Key words
linear systems/ simultaneous stabilization/ champagne problem/ Belgian chocolate problem/ Whiskey problem/ complex analysis/ inequality-type theorem/ automated theorem proving/ semi-algebraic systems分类
信息技术与安全科学引用本文复制引用
关强,何冠男,王龙,郁文生..线性系统的同时镇定问题[J].控制理论与应用,2011,28(1):1-12,12.基金项目
国家自然科学基金资助项目(61070048,60874010) （61070048,60874010）
国家自然科学基金委员会创新研究群体科学基金资助项目(61021004) （61021004）
国家重点基础研究发展规划资助项目(2011CB302802) （2011CB302802）
上海市教育委员会科研创新资助项目(11ZZ37). （11ZZ37）
