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Necessary Conditions for an Optimal Strategy

  • Philip G. Howlett
  • Peter J. Pudney
Part of the Advances in Industrial Control book series (AIC)

Abstract

With an appropriate formulation of the train control problem, we have already shown that an optimal driving strategy exists. In this chapter, necessary conditions of the Fritz-John type will be obtained for the optimal strategy, and these conditions will be used to find a Hamiltonian function and to demonstrate the validity of the Pontryagin Principle for this problem. This chapter was originally published in 1988 as a report to the School of Mathematics and Computer Studies at the South Australian Institute of Technology [34]. The methods used are an extension of the methods developed by Craven [18].

Keywords

Banach Space Optimal Strategy Convex Cone Hamiltonian Function Feasible Direction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 1995

Authors and Affiliations

  • Philip G. Howlett
    • 1
  • Peter J. Pudney
    • 1
  1. 1.Scheduling and Control Group School of MathematicsUniversity of South Australia The Levels CampusPoorakaAustralia

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