Accession Number : AD0717177

Title :   Variable Time Optimal Control,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Leondes,C. T. ; Niemann,Robert A.

Report Date : DEC 1970

Pagination or Media Count : 33

Abstract : In problems of optimal control, the final time T may be fixed or it may be variable. For the variable time case, an additional necessary condition that the Hamiltonian be zero is added to the usual conditions used for the fixed time case. In this paper, it will be shown that this necessary condition may lead to a variable time local maximum as well as a local minimum. The paper first develops a computational algorithm using only the H=O condition, and then develops a sufficient condition for a variable time local minimum and a computational algorithm employing this condition. Numerical examples are given to illustrate all results. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, HAMILTONIAN, OPTIMIZATION, ALGORITHMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE