ON THE STABILITY OF THE DISCRETE TIME JUMP LINEAR SYSTEM

Adam Czornik; Aleksander Nawrat

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Paper

ON THE STABILITY OF THE DISCRETE TIME JUMP LINEAR SYSTEM

Topics: Hybrid Dynamical Systems

In Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, 75-78, 2006 , Setúbal, Portugal

Authors: Adam Czornik and Aleksander Nawrat

Affiliation: Silesian Technical University, Poland

Keyword(s): Jump linear systems, stability, stabilizability.

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

Abstract: In this paper we investigate the relationships between individual mode stability and mean square stability of jump linear system. It is well known that generally stability of a dynamical system in all its modes does not guarantee stability of the jump linear system defined by all these modes. We present conditions under which stability of all modes implies the mean square stability of the overall system.

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Paper citation in several formats:

Czornik, A. and Nawrat, A. (2006). ON THE STABILITY OF THE DISCRETE TIME JUMP LINEAR SYSTEM. In Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-972-8865-61-0; ISSN 2184-2809, SciTePress, pages 75-78. DOI: 10.5220/0001202000750078

@conference{icinco06,
author={Adam Czornik. and Aleksander Nawrat.},
title={ON THE STABILITY OF THE DISCRETE TIME JUMP LINEAR SYSTEM},
booktitle={Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2006},
pages={75-78},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001202000750078},
isbn={978-972-8865-61-0},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - ON THE STABILITY OF THE DISCRETE TIME JUMP LINEAR SYSTEM
SN - 978-972-8865-61-0
IS - 2184-2809
AU - Czornik, A.
AU - Nawrat, A.
PY - 2006
SP - 75
EP - 78
DO - 10.5220/0001202000750078
PB - SciTePress