Mary Elizabeth Bradley & Suzanne Lenhart
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.
Submitted July 26, 2000. Published May 1, 2001.
Math Subject Classifications: 49K20, 35F10.
Key Words: Kirchhoff plate, optimal control, bilinear control.
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|Mary Elizabeth Bradley |
Department of Mathematics, University of Louisville
Louisville, KY 40292 USA
|Suzanne Lenhart |
Department of Mathematics
University of Tennessee
Knoxville, TN 37996-1300 USA
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