Second order necessary conditions for general problems with state inequality constraints
Loading...
Authors
Russak, Ira Bert
Subjects
Advisors
Date of Issue
1973-06
Date
1973-06
Publisher
Monterey, California. Naval Postgraduate School
Language
eng
Abstract
A set of second order necessary conditions is obtained for solution to a basic problem in optimal control involving the state constraints psi sup alpha (t,x) or = 0 alpha = 1,...,m. For the case of a normal solution arc, the methods of Hestenes are used to show that the second variation of a certain functional is non-negative on a class of variations of the solution arc. The results for this problem are basic in the sense that they can be extended to include analagous results for much more complicated problems. (Author)
Type
Technical Report
Description
Series/Report No
Department
Organization
Operations Research (OR)
Graduate School of Operational and Information Sciences (GSOIS)
Identifiers
NPS Report Number
NPS-53Ru73061A
Sponsors
Funder
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.