Sensitivity Analysis for Optimal Control Problems Subject to Higher Order State Constraints

Kazimierz Malanowski () and Helmut Maurer ()

Annals of Operations Research, 2001, vol. 101, issue 1, 43-73

Abstract: A family of parameter dependent optimal control problems is considered. The problems are subject to higher-order inequality type state constraints. It is assumed that, at the reference value of the parameter, the solution exists and is regular. Regularity conditions are formulated under which the original problems are locally equivalent to some other problems subject to equality type constraints only. The classical implicit function theorem is applied to these new problems to investigate Fréchet dif ferentiability of the stationarity points with respect to the parameter. Copyright Kluwer Academic Publishers 2001

Keywords: parametric optimal control; higher order state constraints; differentiability of solutions; implicit function theorem (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1010956104457

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