A direct method for optimal control problem

A new stochastic algorithm called Probabilistic Global Search Johor (PGSJ) has recently been established for global optimization of nonconvex real valued problems on finite dimensional Euclidean space. In this paper we present convergence guarantee for this algorithm in probabilistic sense without i...

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Main Authors: Banitalebi, Ahmad, Ahmad, Rohanin, Abd. Aziz, Mohd. Ismail
Format: Article
Published: 2012
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Online Access:http://eprints.utm.my/id/eprint/46480/
http://www.ijpam.eu
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Institution: Universiti Teknologi Malaysia
id my.utm.46480
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spelling my.utm.464802017-09-11T07:08:47Z http://eprints.utm.my/id/eprint/46480/ A direct method for optimal control problem Banitalebi, Ahmad Ahmad, Rohanin Abd. Aziz, Mohd. Ismail QA Mathematics A new stochastic algorithm called Probabilistic Global Search Johor (PGSJ) has recently been established for global optimization of nonconvex real valued problems on finite dimensional Euclidean space. In this paper we present convergence guarantee for this algorithm in probabilistic sense without imposing any more condition. Then, we jointly utilize this algorithm along with control parameterization technique for the solution of constrained optimal control problem. The numerical simulations are also included to illustrate the efficiency and effectiveness of the PGSJ algorithm in the solution of control problems. 2012 Article PeerReviewed Banitalebi, Ahmad and Ahmad, Rohanin and Abd. Aziz, Mohd. Ismail (2012) A direct method for optimal control problem. International Journal of Pure and Applied Mathematics, 81 (1). pp. 33-47. ISSN 1311-8080 http://www.ijpam.eu
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Banitalebi, Ahmad
Ahmad, Rohanin
Abd. Aziz, Mohd. Ismail
A direct method for optimal control problem
description A new stochastic algorithm called Probabilistic Global Search Johor (PGSJ) has recently been established for global optimization of nonconvex real valued problems on finite dimensional Euclidean space. In this paper we present convergence guarantee for this algorithm in probabilistic sense without imposing any more condition. Then, we jointly utilize this algorithm along with control parameterization technique for the solution of constrained optimal control problem. The numerical simulations are also included to illustrate the efficiency and effectiveness of the PGSJ algorithm in the solution of control problems.
format Article
author Banitalebi, Ahmad
Ahmad, Rohanin
Abd. Aziz, Mohd. Ismail
author_facet Banitalebi, Ahmad
Ahmad, Rohanin
Abd. Aziz, Mohd. Ismail
author_sort Banitalebi, Ahmad
title A direct method for optimal control problem
title_short A direct method for optimal control problem
title_full A direct method for optimal control problem
title_fullStr A direct method for optimal control problem
title_full_unstemmed A direct method for optimal control problem
title_sort direct method for optimal control problem
publishDate 2012
url http://eprints.utm.my/id/eprint/46480/
http://www.ijpam.eu
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