Algebraic characterizations of almost invariance

DOI10.1080/00207178308933064zbMath0516.93013OpenAlexW2135149302WikidataQ126244411 ScholiaQ126244411MaRDI QIDQ3664906

Johannes M. Schumacher

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/1037

zbMATH Keywords

rank testalmost invariant subspacealmost controllability subspacefrequency domain descriptionhybrid characterization

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Algebraic methods (93B25) Invariant subspaces of linear operators (47A15) Control/observation systems governed by ordinary differential equations (93C15) Model systems in control theory (93C99)

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Almost invariance and noninteracting control: A frequency-domain analysis, On almost invariant subspaces for implicit linear discrete-time systems, Some geometric considerations about the Kronecker normal form, Feedback invariants of supplementary pairs of matrices, On disturbance localization in singular systems with direct feedthrough, A tutorial on the geometric analysis of linear time-invariant implicit systems, Inner and outer geometry for singular systems with computation of subspaces, Implicit linear discrete-time systems, Generalized linear systems: Geometric and structural approaches, On Hautus-type conditions for controllability of implicit linear discrete-time systems

Cites Work

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• Matrix pencil characterization of almost ( A, Z) -invariant subspaces : A classification of geometric concepts
• A Polynomial Characterization of $(\mathcal{A},\mathcal{B})$-Invariant and Reachability Subspaces
• Rational matrix structure
• Some Applications of Matrics in the Theory of Equations