On turnpike solutions of some optimal growth problems

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Abstract

Turnpike behavior in multi-dimensional dynamic optimization problems is analyzed using maximal-yield endothermic chemical processes as an example. The turnpike process is strikingly simple, although the dynamic equations and the behavior of the other state variables and controls are considerably more complex. This feature characterizes the optimal solutions of a large variety of control problems, and is robust to variations in model specifications and constraints. The simple turnpike behavior is explained in terms of Green's Theorem analysis.

Original languageEnglish
Title of host publicationCAO'09 - IFAC Workshop on Control Applications of Optimization, Proceedings
PublisherIFAC Secretariat
Pages82-84
Number of pages3
EditionPART 1
ISBN (Print)9783902661425
DOIs
StatePublished - 1 Jan 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume7
ISSN (Print)1474-6670

Keywords

  • Chemical reactions
  • Green's Theorem
  • Maximal yield
  • Optimal control
  • Singular processes
  • Turnpike trajectories

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