Diagonal Stability of Uncertain Interval Systems

Vakif Dzhafarov (Cafer), Taner Büyükköroğlu, Bengi Yildiz

2015

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.

Paper Citation

in Harvard Style

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, pages 558-562. DOI: 10.5220/0005540605580562

in Bibtex Style

@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},
}

in EndNote Style

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
AU - Dzhafarov (Cafer) V.
AU - Büyükköroğlu T.
AU - Yildiz B.
PY - 2015
SP - 558
EP - 562
DO - 10.5220/0005540605580562