Rosenbrock models and their homotopy equivalence

DOI10.1016/S0024-3795(01)00506-7zbMath1031.93059MaRDI QIDQ1611919

Vakhtang Lomadze

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

statesstate spacehomotopy equivalencemotionspole modulesRosenbrock systemszero modules

Mathematics Subject Classification ID

Algebraic methods (93B25)

Related Items (2)

On homotopy and similarity in linear systems theory ⋮ ARMA-models and their equivalences

Cites Work

• On the zeros and poles of a transfer function
• System matrix characterization of input-output equivalence
• Infinite frequency structure-preserving transformations for general polynomial system matrices
• Paradigms and puzzles in the theory of dynamical systems
• On strict system equivalence and similarity†
• The transformation of strict system equivalence
• Research on system zeros: a survey
• Generalized state-space system matrix equivalents of a Rosenbrock system matrix
• A fundamental notion of equivalence for linear multivariable systems
• Finite poles and zeros of linear systems: An intrinsic approach
• Poles and zeros at infinity of linear time-varying systems
• Structural properties of linear dynamical systems
• An extension of Wolovich's definition of equivalence of linear systems
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