Solution to the Generalized Champagne Problem on Simultaneous Stabilization of Linear Systems

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dc.creatorGuan, Qiang
dc.creatorWang, Long
dc.creatorXia, Bican
dc.creatorYang, Lu
dc.creatorYu, Wensheng
dc.creatorZeng, Zhenbing
dc.date2006-07-19
dc.date.accessioned2026-07-07T07:20:41Z
dc.date.available2026-07-07T07:20:41Z
dc.descriptionThe well-known "Generalized Champagne Problem" on simultaneous stabilization of linear systems is solved by using complex analysis \cite{A73,C78,G69,N52,R87} and Blondel's technique \cite{B94,BG93,BGMR94}. We give a complete answer to the open problem proposed by Patel et al. \cite{P99,PDV02}, which automatically includes the solution to the original "Champagne Problem" \cite{BG93,BGMR94,BSVW99,LKZ99,P99,PDV02}. Based on the recent development in automated inequality-type theorem proving \cite{Y98,Y99,YHX01,YX05,YX03}, a new stabilizing controller design method is established. Our numerical examples significantly improve the relevant results in the literature \cite{LKZ99,PDV02}.
dc.identifierhttps://arxiv.org/abs/math/0607445
dc.identifierhttp://arxiv.org/abs/math/0607445
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115033
dc.subjectDynamical Systems
dc.subject37F10
dc.titleSolution to the Generalized Champagne Problem on Simultaneous Stabilization of Linear Systems
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