
Accession Number : AD0650432
Title : SOME VARIATIONAL PROBLEMS INVOLVING RETARDED ARGUMENTS,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Brown,T. A.
Report Date : NOV 1964
Pagination or Media Count : 16
Abstract : Variational problems involving a retarded argument have direct applications to automatic control systems. If the integrand of an initialtype variational problem is itself a sum of functions, each of which depends on just one retardation of the argument, then the problem may be immediately transformed into one which involves no retardation, and thus the difficulties involved in solving differentialdifference analogues of Euler's equation may be avoided. It is demonstrated that although the integrands typical of control problems are not usually of this type, they can sometimes be approximated fairly closely by integrands which are, and thus the method may be of direct practical use. (Author)
Descriptors : (*CALCULUS OF VARIATIONS, CONTROL SYSTEMS), AUTOMATIC, DYNAMIC PROGRAMMING, TRANSFORMATIONS(MATHEMATICS)
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE