A Steepest-Ascent Method for Solving Optimum Programming Problems-Reference-Cited by-同舟云学术

A Steepest-Ascent Method for Solving Optimum Programming Problems

Published:1962-06-01 Issue:2 Volume:29 Page:247-257
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Bryson A. E.¹,Denham W. F.²

Affiliation:

1. Division of Engineering and Applied Physics, Harvard University, Cambridge, Mass.

2. Missiles & Space Division, Raytheon Company, Bedford, Mass.

Abstract

A systematic and rapid steepest-ascent numerical procedure is described for solving two-point boundary-value problems in the calculus of variations for systems governed by a set of nonlinear ordinary differential equations. Numerical examples are presented for minimum time-to-climb and maximum altitude paths for a supersonic interceptor and maximum-range paths for an orbital glider.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/29/2/247/5444786/247_1.pdf

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