A generalization of a result of Jones and McCormick on optimal control problem
type: Item
instance of: scholarly article
title: A generalization of a result of Jones and McCormick on optimal control problem
zbMATH Open document ID: 0554.49018
author: Shiv Prasad
author: R. N. Mukherjee
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1984-01-01T00:00:00Z
review text: A method of \textit{A. P. Jones} and \textit{G. P. McCormick} [Siam J. Control 8, 218-225 (1970; Zbl 0225.49033)] for an optimal control problem is generalized in this work. The new generalization modifies the penalty function used by Jones and McCormick to incorporate some new constraints to be satisfied by the state and control variables. The result is an extension of Zangwill's penalty method used in nonlinear programming problems for the case of optimal control problems [see \textit{W. I. Zangwill}, ''Nonlinear programming: A unified approach'', Prentice Hall, N. J. (1969; Zbl 0195.208)].
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 49M37
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 3883092
zbMATH Keywords: penalty function
zbMATH Keywords: Zangwill's penalty method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3883092