Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems

查看全文 作　　者：GUAN [1]Qiang;WANG [2]Long;XIA [3]BiCan;YANG [4]Lu;YU [1,5]WenSheng;ZENG [4]ZhenBing

机构地区：[1]Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China;[2]Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China;[3]LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China;[4]Shanghai Institute of Theoretical Computing, Software Engineering Institute, East China Normal University, Shanghai 200062, China;[5]National Key Laboratory of Intelligent Technology and Systems, Tsinghua University, Beijing 100084, China

出　　处：《Science in China(Series F)》索引2007年第50卷第5期,共13页

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 60572056, 60528007, 60334020, 60204006, 10471044, and 10372002);the National Key Basic Research and Development Program (Grant Nos. 2005CB321902, 2004CB318003, 2002CB312200);the Overseas Outstanding Young Researcher Foundation of Chinese Academy of Sciences;the Program of National Key Laboratory of Intelligent Technology and Systems of Tsinghua University 摘　　要：The well-known Generalized Champagne Problem on simultaneous stabilization of linear systems is solved by using complex analysis and Blondel’s technique. We give a complete answer to the open problem proposed by Patel et al., which auto-matically includes the solution to the original Champagne Problem. Based on the recent development in automated inequality-type theorem proving, a new stabiliz-ing controller design method is established. Our numerical examples significantly improve the relevant results in the literature. 关键词：线性系统同时稳定性广义香槟酒问题综合分析自动化定理

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Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems

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