Time-varying linear systems and invariants of system equivalence

DOI10.1080/00207178508933396zbMath0573.93007OpenAlexW2036705738WikidataQ122926763 ScholiaQ122926763MaRDI QIDQ3691483

Achim Ilchmann

Publication date: 1985

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

Full work available at URL: https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00006608/IJC1985_I.PDF

zbMATH Keywords

transfer matrixtime-varying systemsminimal basissystem equivalenceinvariants of similaritycontrollability and minimal indicesinput module

Mathematics Subject Classification ID

Related Items (7)

On the Kronecker Canonical Form of Singular Mixed Matrix Pencils ⋮ An algebraic interpretation of the Laplace transform and of transfer matrices ⋮ Duality in time-varying linear systems: A module theoretic approach ⋮ Fractional Approaches in Path Tracking Design (or Motion Control): Prefiltering, Shaping, and Flatness ⋮ Transfer matrices, realization, and control of continuous-time linear time-varying systems via polynomial fractional representations ⋮ Stabilizability of systems with exponential dichotomy ⋮ State for Linear Time-Varying Systems, with Applications to Dissipative Systems

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• Minimal bases of polynomial modules, structural indices and Brunovsky-transformations
• Solution modules and system equivalence
• Brunovsky equivalence of system matrices: The reachable case
• Controllability and Observability in Time-Variable Linear Systems
• Invariant Description of Linear, Time-Invariant Controllable Systems

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