# Diagonal Stability of Uncertain Interval Systems

### Vakif Dzhafarov (Cafer), Taner Büyükköroğlu, Bengi Yildiz

#### 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.

#### References

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#### 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