Article ID Journal Published Year Pages File Type
4602165 Linear Algebra and its Applications 2009 7 Pages PDF
Abstract

We revisit the theorem of Barker, Berman and Plemmons on the existence of a diagonal quadratic Lyapunov function for a stable linear time-invariant (LTI) dynamical system [G.P. Barker, A. Berman, R.J. Plemmons, Positive diagonal solutions to the Lyapunov equations, Linear and Multilinear Algebra 5(3) (1978) 249–256]. We use recently derived results to provide an alternative proof of this result and to derive extensions.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory