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

Affiliations: 1 Faculty of Science and Anadolu University, Turkey ; 2 Faculty of Science and Letters and Bilecik Seyh Edebali University, Turkey

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

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

Abstract: In this paper we consider the problem of diagonal stability of interval systems. We investigate the existence and evaluation of a common diagonal solution to the Lyapunov and Stein matrix inequalities for third order interval systems. We show that these problems are equivalent to minimax problem with polynomial goal functions. We suggest an interesting approach to solve the corresponding game problems. This approach uses the opennes property of the set of solutions. Examples show that the proposed method is effective and sufficiently fast.

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Paper citation in several formats:
Dzhafarov (Cafer), V.; Büyükköroğlu, T. and Yildiz, B. (2015). Diagonal Stability of Uncertain Interval Systems. 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 558-562. DOI: 10.5220/0005540605580562

@conference{icinco15,
author={Vakif {Dzhafarov (Cafer)}. and Taner Büyükköroğlu. and Bengi Yildiz.},
title={Diagonal Stability of Uncertain Interval Systems},
booktitle={Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2015},
pages={558-562},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005540605580562},
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 - Diagonal Stability of Uncertain Interval Systems
SN - 978-989-758-122-9
IS - 2184-2809
AU - Dzhafarov (Cafer), V.
AU - Büyükköroğlu, T.
AU - Yildiz, B.
PY - 2015
SP - 558
EP - 562
DO - 10.5220/0005540605580562
PB - SciTePress