New results on the algebraic theory of linear systems: The solution of the cover problems
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Publication:1837145
DOI10.1016/0024-3795(83)90052-6zbMath0506.93012OpenAlexW2000482680MaRDI QIDQ1837145
Publication date: 1983
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(83)90052-6
Factorization of matrices (15A23) Linear systems in control theory (93C05) Algebraic methods (93B25) Realizations from input-output data (93B15) Canonical forms, reductions, classification (15A21) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)
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Cites Work
- Linear multivariable systems
- Algebraic system theory: An analyst's point of view
- Structure and realization problems in the theory of dynamical systems
- Geometric state-space theory in linear multivariable control: A status report
- New results on the algebraic theory of linear systems: The solution of the cover problems
- Feedback invariants of linear multivariable systems
- A Polynomial Characterization of $(\mathcal{A},\mathcal{B})$-Invariant and Reachability Subspaces
- Duality in polynomial models with some applications to geometric control theory
- On canonical forms for linear constant systems
- Causal Factorization and Linear Feedback
- Further results on polynomial characterizations of (<tex>F, G</tex>)-invariant and reachability subspaces
- Design of minimal order stable observers for linear functions of the state via realization theory
- Minimal solutions to transfer matrix equations
- Generalized dynamic covers for linear systems with applications to deterministic identification and realization problems
- Geometric structure of observers for linear feedback control laws
- The Use of State Feedback for Exact Model Matching
- A new characterization of some structural properties of linear systems: unknown-input observability, invertibility and functional controllability†
- Structure and design of linear model following systems
- Unnamed Item
- Unnamed Item
