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Authors: Bengi Yildiz 1 ; Taner Büyükköroğlu 2 and Vakif Dzhafarov 2

Affiliations: 1 Bilecik Seyh Edebali University, Turkey ; 2 Anadolu University, Turkey

ISBN: 978-989-758-039-0

Keyword(s): Hurwitz Diagonal Stability, Schur Diagonal Stability, Common Diagonal Stability, Interval Matrices.

Related Ontology Subjects/Areas/Topics: Adaptive Signal Processing and Control ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Modeling, Analysis and Control of Discrete-event Systems ; Modeling, Analysis and Control of Hybrid Dynamical Systems ; Optimization Algorithms ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: In this paper for second order interval systems we obtain necessary and sufficient conditions for the existence of a common diagonal solutions to the Lyapunov (Stein) inequality. Hurwitz and Schur cases are considered separately. One necessary and sufficient condition is given for n × n interval family of Z-matrices. The obtained results also give diagonal solution in the case of existence.

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Paper citation in several formats:
Yildiz, B.; Büyükköroğlu, T. and Dzhafarov, V. (2014). Common Diagonal Stability of Second Order Interval Systems.In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-039-0, pages 223-227. DOI: 10.5220/0005025902230227

@conference{icinco14,
author={Bengi Yildiz. and Taner Büyükköroğlu. and Vakif Dzhafarov.},
title={Common Diagonal Stability of Second Order Interval Systems},
booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2014},
pages={223-227},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005025902230227},
isbn={978-989-758-039-0},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Common Diagonal Stability of Second Order Interval Systems
SN - 978-989-758-039-0
AU - Yildiz, B.
AU - Büyükköroğlu, T.
AU - Dzhafarov, V.
PY - 2014
SP - 223
EP - 227
DO - 10.5220/0005025902230227

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