Error Estimates for the Regularization of Optimal Control Problems with Pointwise Control and State Constraints | Zendy

Svetlana Cherednichenko | Zendy; Arnd Rösch | Zendy

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Error Estimates for the Regularization of Optimal Control Problems with Pointwise Control and State Constraints

Author(s) -

Svetlana Cherednichenko,

Arnd Rösch

Publication year - 2008

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1351

Subject(s) - pointwise , regularization (linguistics) , regularization perspectives on support vector machines , optimal control , mathematics , quadratic equation , mathematical optimization , state (computer science) , control theory (sociology) , backus–gilbert method , stability (learning theory) , control (management) , computer science , algorithm , inverse problem , artificial intelligence , tikhonov regularization , mathematical analysis , machine learning , geometry

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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