Miniversal deformations of observable marked matrices

DOI10.1002/mma.2780zbMath1282.93081OpenAlexW2136381130MaRDI QIDQ2874184

Marta Peña, Josep Ferrer, Albert Compta

Publication date: 29 January 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/17869

zbMATH Keywords

miniversal deformationconditioned invariant subspacesstratified manifoldvertical pairs of matrices

Mathematics Subject Classification ID

Geometric methods (93B27) Linear systems in control theory (93C05)

Cites Work

• Brunowsky local form of a holomorphic family of pairs of matrices
• On \((A,B)^t\)-invariant subspaces having extendible Brunovsky bases
• Matricial realizations of the solutions of the Carlson problem
• Perturbation of linear control systems
• Invariance and system theory: algebraic and geometric aspects
• Similarity of non-everywhere defined linear maps
• Topological classification and structural stability of linear systems
• Differentiable structure of the set of controllable \((A,B)^t\)-invariant subspaces
• Miniversal deformations of marked matrices
• Stratification and bundle structure of the set of conditioned invariant subspaces in the general case
• Controlled and conditioned invariant subspaces in linear system theory
• A Geometric Approach to the Carlson Problem
• Perturbations preserving conditioned invariant subspaces
• On the Variety of Invariant Subspaces of a Finite-Dimensional Linear Operator
• Regularity of the Brunovsky--Kronecker Stratification

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