Continued-fraction decomposition of linear systems in the state space

DOI10.1016/0167-6911(87)90007-7zbMath0627.93013OpenAlexW2064450009MaRDI QIDQ1092849

R. H. Bishop, Athanasios C. Antoulas

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90007-7

zbMATH Keywords

feedback interconnectioncontinued fraction decompositioncontinued fraction canonical formformal matrix power series

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Canonical structure (93B10) Minimal systems representations (93B20) Algebraic methods (93B25) Continued fractions; complex-analytic aspects (30B70)

Related Items (3)

Bruhat canonical form for linear systems ⋮ Minimal partial realization by descriptor systems ⋮ Lyapunov, Lanczos, and inertia

Cites Work

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• On the partial realization problem
• Algebraic system theory: An analyst's point of view
• Geometric state-space theory in linear multivariable control: A status report
• An essay on continued fractions
• On recursiveness and related topics in linear systems
• A Polynomial Characterization of $(\mathcal{A},\mathcal{B})$-Invariant and Reachability Subspaces
• On canonical forms for linear constant systems
• Almost invariant subspaces: An approach to high gain feedback design--Part II: Almost conditionally invariant subspaces
• A matrix Euclidean algorithm and matrix continued fraction expansions

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