Common Lyapunov Functions for Some Special Classes of Stable Systems

BÜYÜKKÖROĞLU T., ESEN Ö., Dzhafarov V.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol.56, no.8, pp.1963-1967, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 8
  • Publication Date: 2011
  • Doi Number: 10.1109/tac.2011.2137510
  • Journal Name: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1963-1967
  • Keywords: Common quadratic Lyapunov functions, parameterized family, stability, LTI SYSTEMS, STABILITY, MATRICES, PAIRS
  • Anadolu University Affiliated: Yes

Abstract

In this work we consider the problem of existence and determination of a common positive definite solution (common quadratic Lyapunov function) to a set of Lyapunov matrix inequalities. We investigate a parameterized matrix family and a compact (in particular finite) set of 2 x 2 matrices.