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Sufficient conditions for a strong relative minimum in an optimal control problem

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Abstract

In this paper, on the basis of Young's method (Ref. 1), sufficient conditions for a strong relative minimum in an optimal control problem are given. Young's method generalizes geodesic coverings and the simplest Hilbert integral from the standard variational calculus. This paper carries Young's method over to nonparametric problems.

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Authors and Affiliations

  1. Department of Optimization Theory, Institute of Mathematics, University of Lódź, Lódź, Poland

    A. Nowakowski (Assistant Professor)

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  1. A. Nowakowski
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Communicated by D. Q. Mayne

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Nowakowski, A. Sufficient conditions for a strong relative minimum in an optimal control problem. J Optim Theory Appl 50, 129–147 (1986). https://doi.org/10.1007/BF00938481

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  • DOI: https://doi.org/10.1007/BF00938481

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