Some properties of linear systems defined over a commutative Banach algebra

DOI10.1016/0024-3795(94)90201-1zbMath0811.93035OpenAlexW2009771298MaRDI QIDQ1329974

Bao-Wei Wu

Publication date: 15 August 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90201-1

zbMATH Keywords

infinite dimensional linear system over commutative Hermitian Banach algebra

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Observability (93B07) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) General systems (93A10)

Cites Work

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• Exact controllability and spectrum assignment
• Spectral factorization via Hermitian pencils
• Fast projection methods for minimal design problems in linear system theory
• Asymptotic stability of linear difference equations defined over a commutative Banach algebra
• Stabilizability, controllability, and observability of linear continuous- time systems defined over a commutative Banach algebra
• Linear multivariable systems
• Exact controllability and observability and realization theory in Hilbert space
• Geometric state-space theory in linear multivariable control: A status report
• Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems

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