A Stronger Version of the Discrete Minimum Principle

Arthur W. Westerberg, George Stephanopoulos

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

The discrete form of Pontryagin’s Minimum Principle proposed by a number of authors has been shown by others in the past to be fallacious; only a weak result can be obtained. Due to the mathematical character of the objective function and the stage transformation equations, only a small class of chemical engineering problems have been solved by the strong discrete minimum principle. This paper presents a method to overcome the previous shortcomings of the strong principle. An algorithmic procedure is developed which uses this new version. Numerical examples are provided to clarify the approach and demonstrate its usefulness.

Original languageEnglish (US)
Pages (from-to)231-237
Number of pages7
JournalIndustrial and Engineering Chemistry Fundamentals
Volume13
Issue number3
DOIs
StatePublished - Aug 1 1974
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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