Asymptotic stability of linear difference equations defined over a commutative Banach algebra

DOI10.1016/0022-247X(80)90103-1zbMath0471.39006OpenAlexW2040298143MaRDI QIDQ1157483

William L. Green, Edward W. Kamen

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90103-1

zbMATH Keywords

commutative Banach algebraasymptotic stabilitystability criteriaBanach spacefirst-order vector difference equationnth-order scalar difference equation

Mathematics Subject Classification ID

Algebras of operators on Banach spaces and other topological linear spaces (47L10)

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Cites Work

• An elementary proof of a fundamental theorem in the theory of Banach algebras
• Primitive ideals in enveloping algebras
• Discretized partial differential equations: Examples of control systems defined on modules
• Asymptotic stability of linear shift-invariant two-dimensional digital filters
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