Freezing Method Approach to an Asymptotic Stability of the Discrete-time Oscillator Equation

Artur Babiarz; Adam Czornik; Michal Niezabitowski

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Paper

Freezing Method Approach to an Asymptotic Stability of the Discrete-time Oscillator Equation

Topics: Modeling, Analysis and Control of Hybrid Dynamical Systems

In Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, 353-357, 2015 , Colmar, Alsace, France

Authors: Artur Babiarz ¹ ; Adam Czornik ² and Michal Niezabitowski ¹

Affiliations: ¹ Silesian University of Technology, Poland ; ² Silesian Technical University, Poland

Keyword(s): Freezing Method, Asymptotic Stability, Discrete-Time Oscillator Equation.

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

Abstract: The presented research work considers stability criteria of second-order differential equation. The second-order discrete-time oscillator equation is obtained from discretization of second order continuous-time equation using the forward difference operator. The stability criteria are drawn with freezing method and are presented in the terms of the equation coefficients. Finally, an illustrative example is shown.

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Paper citation in several formats:

Babiarz, A.; Czornik, A. and Niezabitowski, M. (2015). Freezing Method Approach to an Asymptotic Stability of the Discrete-time Oscillator Equation. In Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-122-9; ISSN 2184-2809, SciTePress, pages 353-357. DOI: 10.5220/0005512903530357

@conference{icinco15,
author={Artur Babiarz. and Adam Czornik. and Michal Niezabitowski.},
title={Freezing Method Approach to an Asymptotic Stability of the Discrete-time Oscillator Equation},
booktitle={Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2015},
pages={353-357},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005512903530357},
isbn={978-989-758-122-9},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - Freezing Method Approach to an Asymptotic Stability of the Discrete-time Oscillator Equation
SN - 978-989-758-122-9
IS - 2184-2809
AU - Babiarz, A.
AU - Czornik, A.
AU - Niezabitowski, M.
PY - 2015
SP - 353
EP - 357
DO - 10.5220/0005512903530357
PB - SciTePress