An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. II. Applications
Author:
- Lucien W. NeustadtLNLucien W. Neustadt
- 1 February 1967
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control
- Vol. 5 (1) , 90-137
Abstract
In this article the general necessary conditions for variational problems obtained in Part I are specialized to a number of particular problems. These problems include all of the important optimal control problems, both with and without restricted phase coordinates, problems arising from quasiconvex families of functions, and discrete optimal control problems of various types. The necessary conditions obtained include, as special cases, the Pontryagin maximum principle and its various extensions and generalizations, as well as the associated transversality conditions.Keywords
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