Geometric and algebraic properties of minimal bases of singular systems

DOI10.1080/00207179.2013.816869zbMath1312.93032OpenAlexW2018857270MaRDI QIDQ5252967

Nicos Karcanias

Publication date: 3 June 2015

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

Full work available at URL: https://openaccess.city.ac.uk/id/eprint/7288/1/%28252%29%20IJC%20SingSys%20%28Final%2010.06.2013%29%20Colour%20version.pdf

zbMATH Keywords

singular systemsalgebraic systems theory

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15) Matrix pencils (15A22)

Related Items (1)

H_∞ bounded real lemma for singular fractional-order systems

Cites Work

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• Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach
• Reachability and controllability indices for linear descriptor systems
• A geometric characterization of the reachable and the controllable subspaces of descriptor systems
• Least order, stable solution of the exact model matching problem
• Minimal bases of matrix pencils: Algebraic Toeplitz structure and geometric properties
• Canonical forms for descriptor systems under restricted system equivalence
• Disturbance and input-output decoupling of singular systems
• Generalized Reachability Subspaces for Singular Systems
• On the basis matrix characterization of controllability subspaces
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Proper and stable, minimal MacMillan degrees bases of rational vector spaces
• Matrix pencil characterization of almost ( A, Z) -invariant subspaces : A classification of geometric concepts
• On the Dimensions of Controllability Subspaces: A Characterization via Polynomial Matrices and Kronecker Invariants
• Block decoupling and pole assignment of singular systems: A frequency domain approach
• Order, degree, and complexity
• Structural properties of linear dynamical systems

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