On the Asymptotic Stability Analysis of a Certain Type of Discrete-time 3-D Linear Systems

Guido Izuta

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Paper

On the Asymptotic Stability Analysis of a Certain Type of Discrete-time 3-D Linear Systems

Topics: System Modeling; Systems Modeling and Simulation; Systems Modeling and Simulation

In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, 665-670, 2014 , Vienna, Austria

Author: Guido Izuta

Affiliation: Yonezawa Women's College, Japan

Keyword(s): 3-D Systems, Asymptotic Stability Analysis, Lagrange Method, Partial Difference Equations.

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

Abstract: This work is concerned with the analysis of 3-d (3-dimensional) systems. The aim is to establish conditions that guarantee the asymptotic stability of these kinds of systems. To accomplish it, the Lagrange candidate solutions method for partial difference equations is adopted here. We show that the systems are asymptotically stable if the entries of the matrices of their state space descriptions yield a solution in the Lagrange solution sense. Furthermore, the particular cases in which the matrices can be turned into a diagonal matrix by means of the canonical transformation is studied in order to figure out the role of the eigenvalues on the stability conditions.

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Paper citation in several formats:

Izuta, G. (2014). On the Asymptotic Stability Analysis of a Certain Type of Discrete-time 3-D Linear Systems. In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-989-758-039-0; ISSN 2184-2809, SciTePress, pages 665-670. DOI: 10.5220/0005043306650670

@conference{icinco14,
author={Guido Izuta},
title={On the Asymptotic Stability Analysis of a Certain Type of Discrete-time 3-D Linear Systems},
booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2014},
pages={665-670},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005043306650670},
isbn={978-989-758-039-0},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - On the Asymptotic Stability Analysis of a Certain Type of Discrete-time 3-D Linear Systems
SN - 978-989-758-039-0
IS - 2184-2809
AU - Izuta, G.
PY - 2014
SP - 665
EP - 670
DO - 10.5220/0005043306650670
PB - SciTePress