Common Diagonal Stability of Second Order Interval Systems

Bengi Yildiz, Taner Büyükköroğlu, Vakif Dzhafarov

2014

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.

Paper Citation

in Harvard Style

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

in Bibtex Style

@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},
}

in EndNote Style

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