Necessary and sufficient conditions for stability of a matrix polytope with normal vertex matrices

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26 Citations (Scopus)

Abstract

It is shown that the eigenvalue set of a matrix polytope with normal vertex matrices is a subset of the convex hull of eigenvalues of the vertex matrices.

Original languageEnglish
Pages (from-to)887-888
Number of pages2
JournalAutomatica
Volume27
Issue number5
DOIs
Publication statusPublished - Sept 1991
Externally publishedYes

Keywords

  • Stability criteria
  • control system analysis
  • eigenvalue location
  • matrix polytopes
  • robustness

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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