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To stabilize a k real parameter affine family of plants it suffices to simultaneously stabilize \(4^ k\) polynomials

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Publication:809966
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DOI10.1016/0167-6911(91)90047-IzbMath0732.93061MaRDI QIDQ809966

Theodore E. Djaferis

Publication date: 1991

Published in: Systems \& Control Letters (Search for Journal in Brave)


zbMATH Keywords

affine parameter uncertainty


Mathematics Subject Classification ID

Robust stability (93D09)


Related Items

Representations of robustly stabilizing controllers for systems with parameter uncertainty ⋮ Simultaneous stabilization using an LTI compensator with a sampler and hold ⋮ Bibliography on robust control ⋮ Controller synthesis via the \(4^ k\)-polynomial approach



Cites Work

  • Robust stabilization of interval plants using lead or lag compensators
  • Some new results on the simultaneous stabilizability of a family of single input, single output systems
  • Root locations of an entire polytope of polynomials: It suffices to check the edges
  • Convex combinations of stable polynomials
  • Robust Schur polynomial stability and Kharitonov's theorem
  • Representations of robustly stabilizing controllers for systems with parameter uncertainty
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