BILINEAR OPTIMAL-CONTROL OF A KIRCHHOFF PLATE TO A DESIRED PROFILE

Authors
BRADLEY ME LENHART S
Citation
Me. Bradley et S. Lenhart, BILINEAR OPTIMAL-CONTROL OF A KIRCHHOFF PLATE TO A DESIRED PROFILE, Optimal control applications & methods, 18(3), 1997, pp. 217-226
Citations number
8
Categorie Soggetti
Controlo Theory & Cybernetics","Operatione Research & Management Science",Mathematics
Journal title
Optimal control applications & methods → ACNP
ISSN journal
01432087
Volume
18
Issue
3
Year of publication
1997
Pages
217 - 226
Database
ISI
SICI code
0143-2087(1997)18:3<217:BOOAKP>2.0.ZU;2-T
Abstract
We consider the problem of driving a Kirchhoff plate towards a desired state or profile at a final time T while taking into account a quadra tic cost of implementing the control. The control enters the equation as a bilinear term in the state equation. Our purpose is to prove that an optimal control of this type exists, may be characterized as a sol ution to an optimality system and is unique for time T sufficiently sm all.