Title :
Common Lyapunov Functions for Some Special Classes of Stable Systems
Author :
Taner Buyukkoroglu;Özlem Esen;Vakif Dzhafarov
Author_Institution :
Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir, Turkey
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 × 2 matrices.
Keywords :
"Lyapunov methods","Linear matrix inequalities","Eigenvalues and eigenfunctions","Switches","Stability criteria","Polynomials","Linear systems"
Journal_Title :
IEEE Transactions on Automatic Control
DOI :
10.1109/TAC.2011.2137510
