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Finding candidate singular optimal controls: A state of the art survey

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Abstract

Pontryagin's maximum principle gives no information about a singular optimal control if the problem is linear. This survey shows how candidate singular optimal controls may be found for linear and nonlinear problems. A theorem is given on the maximum order of a linear singular problem.

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Authors and Affiliations

  1. Department of Computing, Trent Polytechnic, Nottingham, Nottinghamshire, England

    G. Fraser-Andrews (Senior Lecturer)

Authors
  1. G. Fraser-Andrews
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Additional information

Communicated by L. C. W. Dixon

This paper is based in part on the research undertaken by the author at the Hatfield Polytechnic, Hatfield, Hertfordshire, England, for the Ph.D. Degree.

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Fraser-Andrews, G. Finding candidate singular optimal controls: A state of the art survey. J Optim Theory Appl 60, 173–190 (1989). https://doi.org/10.1007/BF00940004

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  • DOI: https://doi.org/10.1007/BF00940004

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