Error estimates for joint Tikhonov- and Lavrentiev-regularization of constrained control problems

Details Error estimates for joint Tikhonov- and Lavrentiev-regularization of constrained control problems Error estimates for joint Tikhonov- and Lavrentiev-regularization of constrained control problems

2009-09-25

arxiv.org/abs/0909.4648v1

Applicable Analysis, 89(11):1679-1692, 2010

Mathematics

Optimization and Control

Scientific paper

We consider joint Tikhonov- and Lavrentiev-regularization of control problems with pointwise control- and state-constraints. We derive error estimates for the error which is introduced by the Tikhonov regularization. With the help of this results we show, that if the solution of the unconstrained problem has no active constraints, the same holds for the Tikhonov-regularized solution if the regularization parameter is small enough and a certain source condition is fulfilled.

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