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