# Common Diagonal Stability of Second Order Interval Systems

### Bengi Yildiz, Taner Büyükköroğlu, Vakif Dzhafarov

#### 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 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