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  • Geometrie roviny a konvexita polynomiálních oblastí stability (cs)
  • The 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 B´ezoutian 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.
  • The 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 B´ezoutian 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. (en)
Title
  • Plane geometry and convexity of polynomial stability regions
  • Geometrie roviny a konvexita polynomiálních oblastí stability (cs)
  • Plane geometry and convexity of polynomial stability regions (en)
skos:prefLabel
  • Plane geometry and convexity of polynomial stability regions
  • Geometrie roviny a konvexita polynomiálních oblastí stability (cs)
  • Plane geometry and convexity of polynomial stability regions (en)
skos:notation
  • RIV/68407700:21230/08:03145471!RIV09-MSM-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/08/0186), Z(MSM6840770038)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...dnocenehoVysledku
  • 386732
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  • RIV/68407700:21230/08:03145471
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • control theory; convexity; resultants (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [C1371E583392]
http://linked.open...v/mistoKonaniAkce
  • Hagenberg
http://linked.open...i/riv/mistoVydani
  • New York
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the International Symposium on Symbolic and Algebraic Computations
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Henrion, Didier
  • Šebek, Michael
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Association of Computing Machinery
https://schema.org/isbn
  • 978-1-59593-904-3
http://localhost/t...ganizacniJednotka
  • 21230
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