Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-2005-15

December 2005

The Hilbert-Schmidt property of feedback operators

Ruth Curtain, Kalle Mikkola and Amol Sasane


In this article, under mild assumptions, we prove that the feedback operator arising from a Linear Quadratic Regulator (LQR) control design for certain classes of well-posed infinite-dimensional linear systems is Hilbert-Schmidt.

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