Common diagonal stability of second order interval systems

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.

DOI: 10.5220/0005025902230227

Cite this paper

@article{Yildiz2014CommonDS, title={Common diagonal stability of second order interval systems}, author={Bengi Yildiz and Taner B{\"{u}y{\"{u}kk{\"{o}roglu and Vakif Dzhafarov}, journal={2014 11th International Conference on Informatics in Control, Automation and Robotics (ICINCO)}, year={2014}, volume={01}, pages={223-227} }