INNER AND OUTER APPROXIMATION OF CAPTURE BASIN USING INTERVAL ANALYSIS

Mehdi Lhommeau; Luc Jaulin; Laurent Hardouin

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Paper

INNER AND OUTER APPROXIMATION OF CAPTURE BASIN USING INTERVAL ANALYSIS

Topics: Nonlinear Signals and Systems

In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, 5-9, 2007 , Angers, France

Authors: Mehdi Lhommeau ¹ ; Luc Jaulin ² and Laurent Hardouin ¹

Affiliations: ¹ Laboratoire d’Ingénierie des Systèmes Automatisés, Université d’Angers, France ; ² E3 I2, ENSIETA, France

Keyword(s): Interval Analysis, Viability theory, Capture basin.

Related Ontology Subjects/Areas/Topics: Informatics in Control, Automation and Robotics ; Nonlinear Signals and Systems ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: This paper proposes a new approach to solve the problem of computing the capture basin C of a target T. The capture basin corresponds to the set of initial states such that the target is reached in finite time before possibly leaving of constrained set. We present an algorithm, based on interval analysis, able to characterize an inner and an outer approximation C− ⊂ C ⊂ C+ of the capture basin. The resulting algorithm is illustrated on the Zermelo problem.

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Paper citation in several formats:

Lhommeau, M.; Jaulin, L. and Hardouin, L. (2007). INNER AND OUTER APPROXIMATION OF CAPTURE BASIN USING INTERVAL ANALYSIS. In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-972-8865-84-9; ISSN 2184-2809, SciTePress, pages 5-9. DOI: 10.5220/0001625800050009

@conference{icinco07,
author={Mehdi Lhommeau. and Luc Jaulin. and Laurent Hardouin.},
title={INNER AND OUTER APPROXIMATION OF CAPTURE BASIN USING INTERVAL ANALYSIS},
booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2007},
pages={5-9},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001625800050009},
isbn={978-972-8865-84-9},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - INNER AND OUTER APPROXIMATION OF CAPTURE BASIN USING INTERVAL ANALYSIS
SN - 978-972-8865-84-9
IS - 2184-2809
AU - Lhommeau, M.
AU - Jaulin, L.
AU - Hardouin, L.
PY - 2007
SP - 5
EP - 9
DO - 10.5220/0001625800050009
PB - SciTePress