Minimality of descriptor representations under external equivalence

DOI10.1016/0005-1098(91)90133-MzbMath0777.93042OpenAlexW2125583208MaRDI QIDQ1181562

Johannes M. Schumacher, Margreet Kuijper

Publication date: 27 June 1992

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(91)90133-m

zbMATH Keywords

redundancyminimal descriptor representations

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05)

Related Items (7)

A canonical parametrization of the Kronecker form of a matrix pencil ⋮ Simultaneous state and input reachability for linear time invariant systems ⋮ Geometric minimization under external equivalence for implicit descriptions ⋮ Structural matrix minimization algorithm for implicit descriptions ⋮ Descriptor representations without direct feedthrough term ⋮ Identification of noncontrollable systems from impulse response measurements ⋮ The equivalence structure of descriptor representations of systems with possibly inconsistent initial conditions

Cites Work

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• A generalized state-space for singular systems
• Transformations of matrix pencils and implications in linear systems theory
• Realization and Canonicity for Implicit Systems
• On system equivalence
• Non-minimal LCR multiports
• Structural properties of linear dynamical systems
• Realization of Autoregressive Equations in Pencil and Descriptor Form

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