Discrete observability and Dirichlet series

DOI10.1016/0167-6911(87)90061-2zbMath0627.93011OpenAlexW2065548648MaRDI QIDQ1092847

Clyde F. Martin, David S. Gilliam

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)90061-2

zbMATH Keywords

heat equationDirichlet seriesdiscrete observability

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Observability (93B07)

Related Items (6)

A discrete sampling inversion scheme for the heat equation ⋮ Recovery of an initial temperature from discrete sampling ⋮ Discrete observability of the wave equation on bounded domains in euclidean space ⋮ Inverse parabolic problems and discrete orthogonality ⋮ Observability and determination of surface temperature Part 1 ⋮ A convolution method for inverse heat conduction problems

Cites Work

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• Discrete observability of the heat equation on bounded domains
• Observability and Related Problems for Partial Differential Equations of Parabolic Type
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

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