Finitely generated ideals in certain algebras of transfer functions for infinite-dimensional systems

DOI10.1080/00207178708933724zbMath0603.93010OpenAlexW2050793043MaRDI QIDQ3741499

Hartmut Logemann

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933724

zbMATH Keywords

finitely generated idealsalgebras of stable transfer functionsinfinite-dimensional transfer

Mathematics Subject Classification ID

Algebraic methods (93B25) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Control/observation systems in abstract spaces (93C25) Theory of modules and ideals in commutative rings (13C99)

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A fractional representation approach to the robust regulation problem for SISO systems ⋮ A fractional representation approach to the robust regulation problem for multi‐input multi‐output systems ⋮ Bass and topological stable ranks of complex and real algebras of measures, functions and sequences ⋮ On the density of stabilizable plants in the class of unstabilizable plants: the real symmetric disk algebra case ⋮ Matricial topological ranks for two algebras of bounded holomorphic functions ⋮ Robust regulation of stable systems in the H ^∞-algebra

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