Accession Number : AD0710420

Title :   A CONTROL THEORY BOLZA PROBLEM WITH INTERMEDIATE CONSTRAINTS.

Descriptive Note : Doctoral thesis,

Corporate Author : CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s) : Nathanson,Weston Irwin

Report Date : 1970

Pagination or Media Count : 142

Abstract : The paper is a discussion of the control theory analogue of a problem of Bolza in the calculus of variations where admissible arcs may be required to satisfy some intermediate constraints as well as boundary conditions. This problem was first considered by Denbow who transformed it into a classical Bolza problem by looking at each stage defined by two consecutive intermediate constraints as being a classical Bolza problem and solving all stages simultaneously. This requires that each stage be of some positive duration, but it yields the necessary and sufficiency theorems associated with a minimizing arc for the Bolza problem of that time. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*CALCULUS OF VARIATIONS, THEOREMS), INEQUALITIES, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE