Infinite dimensional backstepping for
nonlinear parabolic PDEs
Andras Balogh and Miroslav Krstic
Department of MAE
University of California at San Diego
La Jolla, CA 92093–0411
firstname.lastname@example.org and email@example.com
This note explores an approach to global stabilization of boundary controlled nonlinear PDEs by a technique inspired by finite dimensional back-stepping/ feedback linearization. Solution of the problem presented herein would be of enormous significance because these are the only truly constructive and systematic techniques in finite dimension.
We consider nonlinear parabolic PDEs of the form
this problem ...