| Popis: |
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]. |
