Plane geometry and convexity of polynomial stability regions

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dc.creatorHenrion, Didier
dc.creatorSebek, Michael
dc.date2008-01-16
dc.date.accessioned2026-07-07T08:54:51Z
dc.date.available2026-07-07T08:54:51Z
dc.descriptionThe set of controllers stabilizing a linear system is generally non-convex in the parameter space. In the case of two-parameter controller design (e.g. PI control or static output feedback with one input and two outputs), we observe however that quite often for benchmark problem instances, the set of stabilizing controllers seems to be convex. In this note we use elementary techniques from real algebraic geometry (resultants and Bezoutian matrices) to explain this phenomenon. As a byproduct, we derive a convex linear matrix inequality (LMI) formulation of two-parameter fixed-order controller design problem, when possible.
dc.identifierhttps://arxiv.org/abs/0801.2499
dc.identifierhttp://arxiv.org/abs/0801.2499
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146087
dc.subjectOptimization and Control
dc.titlePlane geometry and convexity of polynomial stability regions
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