A Complete Characterization of Orbit Closures of Controllable Singular Systems under Restricted System Equivalence

DOI10.1137/0328036zbMath0701.93017OpenAlexW2026244188MaRDI QIDQ3479877

Joyce O'Halloran, Diederich Hinrichsen

Publication date: 1990

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0328036

zbMATH Keywords

orbit closuresalgebraic group actionsorbit spacespencilsrestricted system equivalencecontrollable generalized state- space systemssinguar systemsmooth quasiprojective variety

Mathematics Subject Classification ID

Geometric methods (93B27) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (8)

Limits of generalized state space systems under proportional and derivative feedback ⋮ Stratification of full rank polynomial matrices ⋮ Linear operators preserving certain equivalence relations originating in system theory ⋮ Generalized linear dynamical systems and the classification problem ⋮ Orbit closures of singular matrix pencils ⋮ Unnamed Item ⋮ Miniversal deformations of linear systems under the full group action ⋮ Output feedback invariants

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