Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations

A control system coupling fourth- and second-order parabolic equations is considered in this paper. The main topic is the study of the control properties of this system when we only control the second-order partial differential equation through a boundary condition. Depending on the choice of the di...

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Bibliographic Details
Published inSystems & control letters Vol. 133; p. 104542
Main Authors Carreño, Nicolás, Cerpa, Eduardo, Mercado, Alberto
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.2019
Subjects
Boundary controllability
Moment method
Parabolic system
Parabolic system
Boundary controllability
Moment method
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Summary:A control system coupling fourth- and second-order parabolic equations is considered in this paper. The main topic is the study of the control properties of this system when we only control the second-order partial differential equation through a boundary condition. Depending on the choice of the diffusion coefficients, we obtain positive and negative results for approximate- and null-controllability. In particular, we prove that for any given positive time T0, we can find some diffusion coefficients such that the system is null-controllable in time T if T>T0 and is not null-controllable if T<T0.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2019.104542