Accession Number : AD0688234

Title :   ON THE CONTROL OF A LINEAR FUNCTIONAL-DIFFERENTIAL EQUATION WITH QUADRATIC COST,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Kushner,H. J. ; Barnea,D. I.

Report Date : MAR 1969

Pagination or Media Count : 31

Abstract : The paper is concerned with finding the control u(.) which minimizes the quadratic functional V superscript u(x sub t, t) = the integral from t to T of the quantity (x'(s)Mx(s) + u'(s)N(s)u(s))ds, where M(s) and N(s) are continuous, M(s)= or > O, and N(s) > O for each s in (O,T). (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, *PARTIAL DIFFERENTIAL EQUATIONS), (*CONTROL SYSTEMS, OPTIMIZATION), INTEGRAL EQUATIONS, INFORMATION THEORY, ITERATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE