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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
Source PublicationSCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
2007-10-01
Volume50Issue:5Pages:719-731
SubtypeArticle
AbstractThe 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.
KeywordLinear Systems Stabilization Simultaneous Stabilization Champagne Problem Generalized Champagne Problem Complex Analysis Inequality-type Theorem Automated Theorem Proving
WOS HeadingsScience & Technology ; Technology
WOS KeywordCYLINDRICAL ALGEBRAIC DECOMPOSITION ; FRACTIONAL REPRESENTATION ; FEEDBACK-STABILIZATION ; DESIGN ; PLANTS ; ALGORITHM ; GEOMETRY
Indexed BySCI
Language英语
WOS Research AreaComputer Science
WOS SubjectComputer Science, Information Systems
WOS IDWOS:000250557500006
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9452
Collection09年以前成果
Affiliation1.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
Recommended Citation
GB/T 7714
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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