Convergence of a conditional gradient algorithm for relaxed controls involving first boundary value problems of parabolic type

In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by...

Full description

Saved in:
Bibliographic Details
Published in:Numerical functional analysis and optimization Vol. 6; no. 4; pp. 457 - 491
Main Author: Teo, K. L.
Format: Journal Article
Language:English
Published: Philadelphia, PA Marcel Dekker, Inc 01.01.1983
Taylor & Francis
Subjects:
Applied sciences
Computer science; control theory; systems
conditional gradient algorithm
Control theory. Systems
convergence
Exact sciences and technology
first boundary conditions
Optimal control
parabolic partial differential equations
relaxed control
Parabolic equation
Boundary value problem
Optimal control
Relaxed control
Algorithm
Gradient method
Distributed parameter system
Convergence
ISSN:0163-0563, 1532-2467
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by using a topology arising in the study of relaxed controls.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630568308816177