Common Lyapunov Functions for Some Special Classes of Stable Systems
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol.56, no.8, pp.1963-1967, 2011 (SCI-Expanded, Scopus)
- 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.