BOUNDS FOR THE SOLUTION OF DISCRETE COUPLED LYAPUNOV EQUATION

Adam Czornik; Aleksander Nawrat

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Paper

BOUNDS FOR THE SOLUTION OF DISCRETE COUPLED LYAPUNOV EQUATION

Topics: Hybrid Dynamical Systems

In Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, 11-15, 2006 , Setúbal, Portugal

Authors: Adam Czornik and Aleksander Nawrat

Affiliation: Silesian Technical University, Poland

Keyword(s): Coupled Lyapunov equation, jump linear systems, eigenvalues bounds.

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

Abstract: Upper and lower matrix bounds for the solution of the discrete time coupled algebraic Lyapunov equation for linear discrete-time system with Markovian jumps in parameters are developed. The bounds of the maximal, minmal eigenvalues, the summation of eigenvalues, trace and determinant are also given.

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Paper citation in several formats:

Czornik, A. and Nawrat, A. (2006). BOUNDS FOR THE SOLUTION OF DISCRETE COUPLED LYAPUNOV EQUATION. 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 11-15. DOI: 10.5220/0001201900110015

@conference{icinco06,
author={Adam Czornik. and Aleksander Nawrat.},
title={BOUNDS FOR THE SOLUTION OF DISCRETE COUPLED LYAPUNOV EQUATION},
booktitle={Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2006},
pages={11-15},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001201900110015},
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 - BOUNDS FOR THE SOLUTION OF DISCRETE COUPLED LYAPUNOV EQUATION
SN - 978-972-8865-61-0
IS - 2184-2809
AU - Czornik, A.
AU - Nawrat, A.
PY - 2006
SP - 11
EP - 15
DO - 10.5220/0001201900110015
PB - SciTePress