Electron. J. Diff. Eqns., Vol. 2001(2001), No. 27, pp. 1-15.

Bilinear spatial control of the velocity term in a Kirchhoff plate equation

Mary Elizabeth Bradley & Suzanne Lenhart

Abstract:
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.

Show me the PDF file (244K), TEX file, and other files for this article.

Mary Elizabeth Bradley
Department of Mathematics, University of Louisville
Louisville, KY 40292 USA
e-mail: bradley@louisville.edu
Suzanne Lenhart
Department of Mathematics
University of Tennessee
Knoxville, TN 37996-1300 USA
e-mail: lenhart@math.utk.edu

Return to the EJDE web page