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A global parametrization of asymptotically stable linear systems

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Publication:912041
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DOI10.1016/0167-6911(89)90104-7zbMath0697.93015OpenAlexW2049201402MaRDI QIDQ912041

Uwe R. Helmke

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-6911(89)90104-7

zbMATH Keywords

minimal systems


Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10) Asymptotic stability in control theory (93D20)


Related Items

On diffeomorphisms between classes of linear systems, On the differentiable manifold of fixed order stable linear systems, Methods of invariant analysis for linear control systems., Continuity properties of balanced realizations, A balanced canonical form for discrete-time minimal systems using characteristic maps



Cites Work

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  • A cell decomposition of the space of real Hankel matrices of rank \(\leq n\) and some applications
  • On symmetric rational transfer functions
  • Topology of the set of asymptotically stable minimal systems
  • Canonical Forms and Orbit Spaces of Linear Systems
  • Input-output invariants for linear multivariable systems
  • Some geometric questions in the theory of linear systems
  • The Matrix Cauchy Index: Properties and Applications
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