An algebraic geometry approach to nonlinear parametric optimization in control

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dc.creatorFotiou, Ioannis A.
dc.creatorRostalski, Philipp
dc.creatorSturmfels, Bernd
dc.creatorMorari, Manfred
dc.date2005-09-13
dc.date.accessioned2026-07-07T05:23:09Z
dc.date.available2026-07-07T05:23:09Z
dc.descriptionWe present a method for nonlinear parametric optimization based on algebraic geometry. The problem to be studied, which arises in optimal control, is to minimize a polynomial function with parameters subject to semialgebraic constraints. The method uses Groebner bases computation in conjunction with the eigenvalue method for solving systems of polynomial equations. In this way, certain companion matrices are constructed off-line. Then, given the parameter value, an on-line algorithm is used to efficiently obtain the optimizer of the original optimization problem in real time.
dc.identifierhttps://arxiv.org/abs/math/0509288
dc.identifierhttp://arxiv.org/abs/math/0509288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76326
dc.subjectOptimization and Control
dc.subjectAlgebraic Geometry
dc.titleAn algebraic geometry approach to nonlinear parametric optimization in control
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