Dimension of orbits of linear time-invariant singular systems under restricted system equivalence

DOI10.1016/j.laa.2007.05.018zbMath1145.93010OpenAlexW2020816477MaRDI QIDQ935382

Josep Clotet, M. Dolors Magret

Publication date: 6 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.018

zbMATH Keywords

singular linear systemsmatrix pencilsKronecker canonical formminiversal deformationsorbits under a Lie group action

Mathematics Subject Classification ID

Canonical structure (93B10) Algebraic methods (93B25) Matrix pencils (15A22)

Cites Work

• Invariance and system theory: algebraic and geometric aspects
• Singular control systems
• Topological classification and structural stability of linear systems
• A criterion for structural stability of quadruples of matrices defining generalized dynamical systems
• The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms
• A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations
• ON MATRICES DEPENDING ON PARAMETERS
• Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them
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