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A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems

When one uses the Pontryagin’s Maximum Principle for solving fixed-time and fixedendpoint optimal control problems, one will face a Hamiltonian system. The Hamiltonian system consists of a pair of differential equations. The first equation is equipped with initial and final condition, but the second...

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Main Author: Irianto, Irianto
Format: Article
Language:English
Published: 2014
Subjects:
Q Science (General)
Online Access:http://eprints.utem.edu.my/id/eprint/12983/1/370-374.pdf
http://eprints.utem.edu.my/id/eprint/12983/
http://www.ajbasweb.com/old/ajbas/2014/Special%202/370-374.pdf
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spelling my.utem.eprints.129832015-05-28T04:28:47Z http://eprints.utem.edu.my/id/eprint/12983/ A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems Irianto, Irianto Q Science (General) When one uses the Pontryagin’s Maximum Principle for solving fixed-time and fixedendpoint optimal control problems, one will face a Hamiltonian system. The Hamiltonian system consists of a pair of differential equations. The first equation is equipped with initial and final condition, but the second one lacks any boundary conditions. Thus, in most cases, one cannot solve this problem directly. This is a classic difficulty for using the maximum principle. We will proposed a new method for overcoming this difficulty here. This method utilizes an algorithm called Particle Swarm Optimization or PSO. At the end this paper will present some numerical results 2014-04-25 Article PeerReviewed application/pdf en http://eprints.utem.edu.my/id/eprint/12983/1/370-374.pdf Irianto, Irianto (2014) A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems. Australian Journal of Basic and Applied Sciences (8(5) S). pp. 370-374. ISSN 1991-8178 http://www.ajbasweb.com/old/ajbas/2014/Special%202/370-374.pdf
institution Universiti Teknikal Malaysia Melaka
building UTEM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknikal Malaysia Melaka
content_source UTEM Institutional Repository
url_provider http://eprints.utem.edu.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Irianto, Irianto
A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems
description When one uses the Pontryagin’s Maximum Principle for solving fixed-time and fixedendpoint optimal control problems, one will face a Hamiltonian system. The Hamiltonian system consists of a pair of differential equations. The first equation is equipped with initial and final condition, but the second one lacks any boundary conditions. Thus, in most cases, one cannot solve this problem directly. This is a classic difficulty for using the maximum principle. We will proposed a new method for overcoming this difficulty here. This method utilizes an algorithm called Particle Swarm Optimization or PSO. At the end this paper will present some numerical results
format Article
author Irianto, Irianto
author_facet Irianto, Irianto
author_sort Irianto, Irianto
title A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems
title_short A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems
title_full A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems
title_fullStr A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems
title_full_unstemmed A Preliminary Report on the Utilization of PSO for Solving the Hamiltonian Systems
title_sort preliminary report on the utilization of pso for solving the hamiltonian systems
publishDate 2014
url http://eprints.utem.edu.my/id/eprint/12983/1/370-374.pdf
http://eprints.utem.edu.my/id/eprint/12983/
http://www.ajbasweb.com/old/ajbas/2014/Special%202/370-374.pdf
_version_ 1665905521100587008
score 13.160551

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