Common Lyapunov Functions for Some Special Classes of Stable Systems

BÜYÜKKÖROĞLU T., ESEN Ö., Dzhafarov V.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, cilt.56, sa.8, ss.1963-1967, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 8
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1109/tac.2011.2137510
  • Dergi Adı: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1963-1967
  • Anahtar Kelimeler: Common quadratic Lyapunov functions, parameterized family, stability, LTI SYSTEMS, STABILITY, MATRICES, PAIRS
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.