Application of the adjoint system of differential equations in the solution of the bang-bang control problem
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Authors
McCalla, Thomas Richard
Subjects
Advisors
Faulkner, Frank D.
Date of Issue
1961
Date
1961
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
Some problems in the optimum control of a linear dynamic system are investigated, particularly the problem of determining the minimum time required to drive a linear, constant coefficient dynamic system from an initial state to a specified terminal state with a limited power source. The important feature of the paper is that an elementary method of solution for this problem is given. It is a method of successive approximations based on the adjoint system of differential equations in a way similar to that which bliss used in calculating differentials in Ballistics. A program is given for solving the minimum- time problem on a digital computer; an elementary proof is given that if the routine converges then the solution thus found yields the desired minimum time.
Type
Thesis
Description
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
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.