COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL

Vasile Sima

2011

Abstract

Structure-preserving techniques for solving essential computational problems in optimal control are presented. The techniques use possibly extended skew-Hamiltonian/Hamiltonian matrix pencils, and specialized algorithms to exploit their structure: the symplectic URV decomposition, periodic QZ algorithm, solution of periodic Sylvester-like equations, etc. The structure-preserving approach has the potential to avoid the numerical difficulties which are encountered for a traditional, non-structured solution, returned by the currently available software tools. Preliminary computational results are presented.

Paper Citation

in Harvard Style

Sima V. (2011). COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 91-96. DOI: 10.5220/0003534100910096

in Bibtex Style

@conference{icinco11,
author={Vasile Sima},
title={COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={91-96},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003534100910096},
isbn={978-989-8425-74-4},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - COMPUTATIONAL EXPERIENCE WITH STRUCTURE-PRESERVING HAMILTONIAN SOLVERS IN OPTIMAL CONTROL
SN - 978-989-8425-74-4
AU - Sima V.
PY - 2011
SP - 91
EP - 96
DO - 10.5220/0003534100910096