On relative primeness of operator polynomials

DOI10.1016/0024-3795(83)90067-8zbMath0553.47008OpenAlexW2082015753MaRDI QIDQ802122

Katsutoshi Takahashi

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)90067-8

zbMATH Keywords

controllability of infinite- dimensional linear autonomous systemsexistence of operator polynomials

Mathematics Subject Classification ID

Controllability (93B05) Matrix equations and identities (15A24) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Equations involving linear operators, with operator unknowns (47A62)

Related Items

Modal observability and detectability for infinite dimensional systems ⋮ Bezout equation, Vandermonde operators, and common multiples for operator polynomials ⋮ On exact controllability of operators ⋮ Exact controllability and spectrum assignment

Cites Work

• On existence of common multiples of monic operator polynomials
• Representations and Divisibility of Operator Polynomials
• On One-Sided Inverses in Banach Algebras of Holomorphic Vector-Valued Functions
• On weak and strong reachability and controllability of infinite- dimensional linear systems
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