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Authors: Nina A. Vunder and Anatoly V. Ushakov

Affiliation: ITMO University, Russian Federation

Keyword(s): Linear System, Free Movement, Peak, Eigenvectors, Condition Number.

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

Abstract: The paper considers a asymptotically stable linear system with real eigenvalues of state matrix. It was found that a peak in free movement trajectories arises. Geometric interpretation of peaks emergence was presented through eigenspace. Quantitative estimate of the peak was obtained by using the condition number of matrix of eigenvectors.

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Paper citation in several formats:
Vunder, N. and Ushakov, A. (2016). Peaks Emergence Conditions in Free Movement Trajectories of Linear Stable Systems. In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-198-4; ISSN 2184-2809, SciTePress, pages 535-538. DOI: 10.5220/0005984605350538

@conference{icinco16,
author={Nina A. Vunder. and Anatoly V. Ushakov.},
title={Peaks Emergence Conditions in Free Movement Trajectories of Linear Stable Systems},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2016},
pages={535-538},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005984605350538},
isbn={978-989-758-198-4},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - Peaks Emergence Conditions in Free Movement Trajectories of Linear Stable Systems
SN - 978-989-758-198-4
IS - 2184-2809
AU - Vunder, N.
AU - Ushakov, A.
PY - 2016
SP - 535
EP - 538
DO - 10.5220/0005984605350538
PB - SciTePress