Article ID Journal Published Year Pages File Type
719166 IFAC Proceedings Volumes 2009 6 Pages PDF
Abstract

A numerical procedure for the construction of Lyapunov matrices is proposed. It is shown that the matrices satisfy an auxiliary two-point boundary value problem for a special delay free system of matrix equations. Some applications of the functional are also given. In this paper we study the problem of computation of Lyapunov functional with a prescribed time derivative for the case of delay systems with periodic coefficients. Similar to the case of time invariant systems the functionals are defined by special Lyapunov matrices.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics