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Optimality conditions at junctions of singular and nonsingular controls

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Abstract

Some necessary conditions for the optimality of junctions between singular and nonsingular subarcs arising in optimal control problems are well established. The second part of McDanell's conjecture has been proved false. The first part still awaits verification or otherwise. This paper briefly summarizes previous work and presents some evidence to suggest that the first part of the conjecture is also false.

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Authors and Affiliations

  1. Institute of Science and Technology, University of Manchester, Manchester, England

    D. J. Bell (Senior Lecturer in Mathematics)

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  1. D. J. Bell
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Communicated by A. Miele

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Bell, D.J. Optimality conditions at junctions of singular and nonsingular controls. J Optim Theory Appl 78, 1–8 (1993). https://doi.org/10.1007/BF00940696

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  • DOI: https://doi.org/10.1007/BF00940696

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