
Accession Number : AD0725048
Title : Comparison Between Various Gradient Algorithms in Control Theory. Part 1. Sequential GradientRestoration Algorithms,
Corporate Author : RICE UNIV HOUSTON TEX AEROASTRONAUTICS GROUP
Personal Author(s) : Pritchard,Robert E.
Report Date : JUN 1971
Pagination or Media Count : 22
Abstract : Two different approaches to the formulation of sequential gradientrestoration algorithms in control theory are compared. The viewpoints compared are those of Miele and Kelley. Each derivation is presented separately and is applied to the simplest problem of the calculus of variations, that of minimizing a line intergral, the endpoints being fixed. It is concluded that Miele's viewpoint is conceptually simpler, and the resulting algorithm is easier to implement than Kelley's algorithm. Also, the control change is optimum in Miele's algorithm, whereas this is not the case in Kelley's algorithm. (Author)
Descriptors : (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*CALCULUS OF VARIATIONS, PROBLEM SOLVING), DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, ALGORITHMS, OPTIMIZATION
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE