On convexity of the frequency response of a stable polynomial

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dc.creatorHenrion, Didier
dc.date2007-09-07
dc.date.accessioned2026-07-07T08:28:10Z
dc.date.available2026-07-07T08:28:10Z
dc.descriptionIn the complex plane, the frequency response of a univariate polynomial is the set of values taken by the polynomial when evaluated along the imaginary axis. This is an algebraic curve partitioning the plane into several connected components. In this note it is shown that the component including the origin is exactly representable by a linear matrix inequality if and only if the polynomial is stable, in the sense that all its roots have negative real parts.
dc.identifierhttps://arxiv.org/abs/0709.1064
dc.identifierhttp://arxiv.org/abs/0709.1064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137524
dc.subjectOptimization and Control
dc.subjectAlgebraic Geometry
dc.subject93D05; 90C22;14Q05
dc.titleOn convexity of the frequency response of a stable polynomial
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