Diagonal stability of uncertain interval systems

Dzhafarov V., Büyükköroʇlu T., YILDIZ B.

12th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2015, Colmar, Alsace, France, 21 - 23 July 2015, vol.1, pp.558-562, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1
  • Doi Number: 10.5220/0005540605580562
  • City: Colmar, Alsace
  • Country: France
  • Page Numbers: pp.558-562
  • Keywords: Common diagonal solution, Game problem, Hurwitz diagonal stability, Interval matrices, Schur diagonal stability
  • Bilecik Şeyh Edebali University Affiliated: Yes

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.