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1998, Volume 4, Issue 2: 241-272. Doi: 10.3934/dcds.1998.4.241
This issue Previous Article Exponential attractors for nonautonomous first-order evolution equations Next Article Existence results for general systems of differential equations on one-dimensional networks and prewavelets approximation

Sensitivity analysis for state constrained optimal control problems

  • 1.

    Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa

  • 2.

    Westfälische Wilhelms-Universität Münster, Institut für Numerische und instrumentelle Mathematik, Einsteinstrasse 62, 48149 Münster

Received:  August 31, 1996
Revised:  December 31, 1996
Published:  March 1998
Abstract Related Papers Cited by
    Abstract
  • A family of parameter dependent optimal control poblems for nonlinear ODEs is considered. The problems are subject to pointwise control and state inequality type constraints. It is assumed that, at the reference value of the parameter the reference optimal solution exists and is regular. Regularity conditions are formulated under which the original problems are locally equivalent to some problems subject to equality type constraints only. The classical implicit function theorem is applied to these new problems to investigate Fréchet differentiability of the solutions with respect to the parameter. A numerical example is provided.
    Mathematics Subject Classification: Primary: 49K40; Secondary: 49K15, 49K30.

    Citation:
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