Equivalence conditions for behaviors and the Kronecker canonical form

DOI10.1007/s00498-011-0061-zzbMath1248.93033OpenAlexW2007417313MaRDI QIDQ661028

Paul A. Fuhrmann, Uwe R. Helmke

Publication date: 6 February 2012

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-011-0061-z

zbMATH Keywords

matrix pencilsbehaviorsstrict equivalenceKronecker's canonical form

Mathematics Subject Classification ID

Geometric methods (93B27) Canonical structure (93B10) Matrix pencils (15A22)

Related Items (1)

Tensored polynomial models

Cites Work

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• On the state of behaviors
• From time series to linear system. I: Finite dimensional linear time invariant systems
• Factorization indices at infinity for rational matrix functions
• Algebraic system theory: An analyst's point of view
• A study of behaviors
• A note on continuous behavior homomorphisms
• A nine-fold canonical decomposition for linear systems
• Linear feedback via polynomial models
• Duality in polynomial models with some applications to geometric control theory
• Paradigms and puzzles in the theory of dynamical systems
• A fundamental notion of equivalence for linear multivariable systems
• Classification problems for shifts on modules over a principal ideal domain
• State Maps for Linear Systems
• Equivalence of AR‐representations in the light of the impulsive‐smooth behaviour
• Structural Invariants of Linear Multivariable Systems
• Autonomous subbehaviours and output nulling subspaces
• Behavior decompositions and two-sided diophantine equations

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