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  • This article introduces the notion of the critical time in the problem of the energy efficient train control and its calculation in some particular cases. We apply some results of non-linear parametric optimization to show that the number of optimal control levels depends on the relation between the given time of the journey and this critical time. Furthermore, we derive equations for the computation of the switching times. I emphasise exact forms of solutions with a minimal use of numerical mathematics. The results can be used to find the values of the switching times only by solving algebraic equations and to analyse the behaviour of the results with respect to given entry parameters of the problem.
  • This article introduces the notion of the critical time in the problem of the energy efficient train control and its calculation in some particular cases. We apply some results of non-linear parametric optimization to show that the number of optimal control levels depends on the relation between the given time of the journey and this critical time. Furthermore, we derive equations for the computation of the switching times. I emphasise exact forms of solutions with a minimal use of numerical mathematics. The results can be used to find the values of the switching times only by solving algebraic equations and to analyse the behaviour of the results with respect to given entry parameters of the problem. (en)
Title
  • A remark on energy optimal strategies for a train movement
  • A remark on energy optimal strategies for a train movement (en)
skos:prefLabel
  • A remark on energy optimal strategies for a train movement
  • A remark on energy optimal strategies for a train movement (en)
skos:notation
  • RIV/00216305:26210/08:PU75800!RIV10-MSM-26210___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM0021630518)
http://linked.open...iv/cisloPeriodika
  • E
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 354445
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26210/08:PU75800
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  • critical time, optimal control, Pontryagin principle, switching time, nonlinear parametric optimization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • AU - Australské společenství
http://linked.open...ontrolniKodProRIV
  • [F1A13FFD6A46]
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  • ANZIAMJ
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 50
http://linked.open...iv/tvurceVysledku
  • Pokorný, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 1446-8735
number of pages
http://localhost/t...ganizacniJednotka
  • 26210
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