Document Type
Thesis
Date of Award
9-30-1987
Degree Name
Master of Science in Applied Mathematics - (M.S.)
Department
Mathematics
First Advisor
John Rausen
Second Advisor
Denis L. Blackmore
Third Advisor
John Tavantzis
Abstract
In a detailed presentation of Boltyanskii "elementary" proof of the Pontryagin's Maximum Principle, several gaps have been filled in the original one: The control processes which are considered in this paper are described by a system of ordinary differential equations, hence the uniform approach to O of certain O(ε) is proved. Moreover, a complete proof of a theorem about convex cones in Rn and a theorem from Topology are presented. An example of time optimal control illustrating the principle is also solved.
Recommended Citation
Varuntanya, Chirasakdi, "Pontryagin's maximum principle" (1987). Theses. 3333.
https://digitalcommons.njit.edu/theses/3333
