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

Jong Yeoul Park, Sun Hye Park, Yong Han Kang

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

Keywords


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



DOI: http://dx.doi.org/10.21914/anziamj.v54i0.7130



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.