A Stronger Version of the Discrete Minimum Principle

Arthur W. Westerberg; George Stephanopoulos

doi:10.1021/i160051a013

A Stronger Version of the Discrete Minimum Principle

Arthur W. Westerberg, George Stephanopoulos

Research output: Contribution to journal › Article › peer-review

8 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 language	English (US)
Pages (from-to)	231-237
Number of pages	7
Journal	Industrial and Engineering Chemistry Fundamentals
Volume	13
Issue number	3
DOIs	https://doi.org/10.1021/i160051a013
State	Published - Aug 1 1974
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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A Stronger Version of the Discrete Minimum Principle

Abstract

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