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 functionals are also given. In this paper we study the problem of computation of Lyapunov functionals 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. © 2012 Springer-Verlag GmbH Berlin Heidelberg.
CITATION STYLE
Letyagina, O. N., & Zhabko, A. P. (2012). A numerical method for the construction of Lyapunov matrices for linear periodic systems with time delay. In Lecture Notes in Control and Information Sciences (Vol. 423, pp. 265–275). https://doi.org/10.1007/978-3-642-25221-1_20
Mendeley helps you to discover research relevant for your work.