Common diagonal stability of second order interval systems

YILDIZ B., Büyükköroʇlu T., Dzhafarov V.

11th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2014, Vienna, Avusturya, 1 - 03 Eylül 2014, cilt.1, ss.223-227, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1
  • Doi Numarası: 10.5220/0005025902230227
  • Basıldığı Şehir: Vienna
  • Basıldığı Ülke: Avusturya
  • Sayfa Sayıları: ss.223-227
  • Anahtar Kelimeler: Common diagonal stability, Hurwitz diagonal stability, Interval matrices, Schur diagonal stability
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.