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Title
Optimal control of a singular PDE modeling transient MEMS with control or state constraints
AuthorClason, Christian In der Gemeinsamen Normdatei der DNB nachschlagen ; Kaltenbacher, Barbara
Published in
Journal of Mathematical Analysis and Applications, Amsterdam [u.a.], 2014, Vol. 410, Issue 1, page 455-468
PublishedElsevier
Edition
Preprint
LanguageEnglish
Document typeJournal Article
Keywords (EN)Optimal control of PDEs / Control constraints / State constraints / Singular PDEs / Microelectromechanical systems (MEMS)
URNurn:nbn:at:at-ubg:3-482 Persistent Identifier (URN)
DOI10.1016/j.jmaa.2013.08.058 
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 The work is publicly available
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Optimal control of a singular PDE modeling transient MEMS with control or state constraints [0.39 mb]
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Abstract (English)

A particular feature of certain microelectromechanical systems (MEMS) is the appearance of a so-called "pull-in" instability, corresponding to a singularity in the underlying PDE model. We here consider a transient MEMS model and its optimal control via the dielectric properties of the membrane and/or the applied voltage. In contrast to the static case, the control problem suffers from low dimensionality of the control compared to the state and hence requires different techniques for establishing first order optimality conditions. For this purpose, we here use a relaxation approach combined with a localization technique.

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