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Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems
Guan Qiang; Wang Long; Xia BiCan; Yang Lu; Yu WenSheng; Zeng ZhenBing
2007-10-01
发表期刊SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
卷号50期号:5页码:719-731
文章类型Article
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 automatically includes the solution to the original Champagne Problem. Based on the recent development in automated inequality-type theorem proving, a new stabilizing controller design method is established. Our numerical examples significantly improve the relevant results in the literature.
关键词Linear Systems Stabilization Simultaneous Stabilization Champagne Problem Generalized Champagne Problem Complex Analysis Inequality-type Theorem Automated Theorem Proving
WOS标题词Science & Technology ; Technology
关键词[WOS]CYLINDRICAL ALGEBRAIC DECOMPOSITION ; FRACTIONAL REPRESENTATION ; FEEDBACK-STABILIZATION ; DESIGN ; PLANTS ; ALGORITHM ; GEOMETRY
收录类别SCI
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Information Systems
WOS记录号WOS:000250557500006
引用统计
被引频次:3[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9452
专题09年以前成果
作者单位1.Chinese Acad Sci, Inst Automat, Lab Complex Syst & Intelligence Sci, Beijing 100080, Peoples R China
2.Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China
3.Peking Univ, LMAM, Beijing 100871, Peoples R China
4.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
5.E China Normal Univ, Inst Software Engn, Shanghai Inst Theoret Comp, Shanghai 200062, Peoples R China
6.Tsing Hua Univ, Natl Key Lab Intelligent Technol & Syst, Beijing 100084, Peoples R China
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Guan Qiang,Wang Long,Xia BiCan,et al. Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2007,50(5):719-731.
APA Guan Qiang,Wang Long,Xia BiCan,Yang Lu,Yu WenSheng,&Zeng ZhenBing.(2007).Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,50(5),719-731.
MLA Guan Qiang,et al."Solution to the Generalized Champagne Problem on simultaneous stabilization of linear systems".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 50.5(2007):719-731.
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