The algebraic Riccati inequality: Parametrization of solutions, tightest local frames and generalized feedback matrices

Augusto Ferrante, Michele Pavon

Research output: Contribution to journalArticlepeer-review

Abstract

Extending on previous work by Faurre, Scherer and Pavon, a parametrization of the symmetric solutions of the algebraic Riccati inequality is established. This is then applied to derive new results on tightest local frames, and on generalized feedback matrices that arise in stochastic realization theory.

Original languageEnglish (US)
Pages (from-to)187-206
Number of pages20
JournalLinear Algebra and Its Applications
Volume292
Issue number1-3
DOIs
StatePublished - May 1 1999

Keywords

  • Algebraic Riccati equation
  • Algebraic Riccati inequality
  • Stochastic realization
  • Tightest local frame

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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