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].
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© 1995 Springer-Verlag London Limited
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Howlett, P.G., Pudney, P.J. (1995). Necessary Conditions for an Optimal Strategy. In: Energy-Efficient Train Control. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-3084-0_6
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DOI: https://doi.org/10.1007/978-1-4471-3084-0_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-3086-4
Online ISBN: 978-1-4471-3084-0
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