Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 27, pp. 1-15.

Title: Bilinear spatial control of the velocity term in a Kirchhoff plate equation
        
Authors: Mary Elizabeth Bradley (Univ. of Louisville, KY, USA)
         Suzanne Lenhart (Univ. of Tennessee, TN, USA)
          
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.