Common Lyapunov Functions for Some Special Classes of Stable Systems

BÜYÜKKÖROĞLU, TANER; ESEN, ÖZLEM; Dzhafarov, Vakif

doi:10.1109/tac.2011.2137510

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, Scopus)

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.