Bilinear optimal control of the velocity term in a von Kármán plate equation

Authors

  • Jong Yeoul Park
  • Sun Hye Park
  • Yong Han Kang

DOI:

https://doi.org/10.21914/anziamj.v54i0.7130

Keywords:

Kármán system, existence of solutions, optimal control, necessary conditions

Abstract

We consider a bilinear optimal control problem for a von Kármán plate equation. The control is a function of the spatial variables and acts as a multiplier of the velocity term. We first state the existence of solutions for the von Kármán equation and then derive optimality conditions for a given objective functional. Finally, we show the uniqueness of the optimal control. doi:10.1017/S1446181113000205

Published

2013-07-29

Issue

Vol. 54 (2012)

Section

Articles for Printed Issues