The cost of the control in the case of a minimal time of control: the example of the one-dimensional heat equation

DOI10.1016/j.jmaa.2017.01.096zbMath1364.35397OpenAlexW2590533663MaRDI QIDQ517969

Pierre Lissy

Publication date: 28 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.01.096

zbMATH Keywords

null controllabilityparabolic equationsnon-harmonic Fourier seriesmoment methodminimal timecontrollability cost

Mathematics Subject Classification ID

Related Items (9)

Analytic properties of heat equation solutions and reachable sets ⋮ Pointwise controllability for degenerate parabolic equations by the moment method ⋮ Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates ⋮ Analysis of non scalar control problems for parabolic systems by the block moment method ⋮ Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions ⋮ Uniform null controllability of a fourth-order parabolic equation with a transport term ⋮ Sharp estimates of the one-dimensional boundary control cost for parabolic systems ⋮ Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations ⋮ From internal to pointwise control for the 1D heat equation and minimal control time

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