Optimal control of the end-temperature in a semi-infinite rod

W. E. Olmstead*, W. E. Schmitendorf

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The temperature distribution in a semi-infinite rod is controlled by heat input at one end. The objective is to keep the temperature at this end of the rod close to a given value, without excessive heat input. This distributed parameter optimal control problem is reformulated as a calculus of variations problem for the optimal end-temperature. An explicit solution is derived, and its general properties are examined. Two example cases are provided to illustrate the results.

Original languageEnglish (US)
Pages (from-to)697-706
Number of pages10
JournalZeitschrift für angewandte Mathematik und Physik ZAMP
Issue number4
StatePublished - Jul 1 1977

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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