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, Austria, 1 - 03 September 2014, vol.1, pp.223-227, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1
  • Doi Number: 10.5220/0005025902230227
  • City: Vienna
  • Country: Austria
  • Page Numbers: pp.223-227
  • Keywords: Common diagonal stability, Hurwitz diagonal stability, Interval matrices, Schur diagonal stability
  • Bilecik Şeyh Edebali University Affiliated: Yes

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.