Geodesic
Bilinear spatial control of the velocity term in a Kirchhoff plate equation
Electronic journal of differential equations, Tome 2001 (2001)
We consider a bilinear optimal control problem with the state equation being a Kirchhoff plate equation. The control is a function of the spatial variables and acts as a multiplier of the velocity term. The unique optimal control, driving the state solution close to a desired evolution function, is characterized in terms of the solution of the optimality system.
Classification : 49K20, 35F10
Keywords: Kirchhoff plate, optimal control, bilinear control 
@article{EJDE_2001__2001__a209,
     author = {Bradley,  Mary Elizabeth and Lenhart,  Suzanne},
     title = {Bilinear spatial control of the velocity term in a {Kirchhoff} plate equation},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0974.49012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a209/}
}
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JO  - Electronic journal of differential equations
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VL  - 2001
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%A Bradley,  Mary Elizabeth
%A Lenhart,  Suzanne
%T Bilinear spatial control of the velocity term in a Kirchhoff plate equation
%J Electronic journal of differential equations
%D 2001
%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a209/
%G en
%F EJDE_2001__2001__a209
Bradley,  Mary Elizabeth; Lenhart,  Suzanne. Bilinear spatial control of the velocity term in a Kirchhoff plate equation. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a209/