An example of \(\varepsilon\)-insensitizing controls for the heat equation with no intersecting observation and control regions.

DOI10.1016/j.aml.2003.10.006zbMath1070.93027OpenAlexW2064079332MaRDI QIDQ1767148

Luz de Teresa, Jaime H. Ortega, Sorin Micu

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2003.10.006

zbMATH Keywords

heat equationapproximate controllabilityunique continuation propertyFourier decompositioninsensitizing controlcascade linear system

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05)

Related Items (12)

Global sensitivity analysis for the boundary control of an open channel ⋮ Insensitizing controls for a phase field system ⋮ Sharp observability estimates for a system of two coupled nonconservative hyperbolic equations ⋮ Insensitizing controls with one vanishing component for the Navier-Stokes system ⋮ Desensitizing control for the heat equation with respect to domain variations ⋮ Insensitizing control for linear and semi-linear heat equations with partially unknown domain ⋮ Locally distributed desensitizing controls for the wave equation ⋮ Insensitizing controls for the Navier-Stokes equations ⋮ Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system ⋮ Controllability and influence of the spatial discretization of the beam equation ⋮ \(\varepsilon\)-insensitizing controls for pointwise observations of the heat equation ⋮ -Insensitizing controls for the linear stochastic Korteweg-de Vries equation

Cites Work

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• Unique continuation for some evolution equations
• Controls insensitizing the norm of the solution of a semilinear heat equation
• Controls insensitizing the norm of the solution of a semilinear heat equation in unbounded domains
• Approximate controllability of the semilinear heat equation
• Insensitizing controls for a semilinear heat equation

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