We discuss a linear-quadratic optimal control problem with pointwise control and state constraints. The state constraints are regularized by a Lavrentiev type regularization. The main results of the paper are estimates for the regularization error and the stability with respect to noisy data.
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Arnd Rösch, S. Cherednichenko, Error Estimates for the Regularization of Optimal Control Problems with Pointwise Control and State Constraints. Z. Anal. Anwend. 27 (2008), no. 2, pp. 195–212DOI 10.4171/ZAA/1351