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.

Original languageEnglish
Title of host publication8th IFAC Workshop on Time-Delay Systems
Pages183-188
Number of pages6
StatePublished - 1 Dec 2009
Event8th IFAC Workshop on Time-Delay Systems, TDS'09 - Sinaia, Romania
Duration: 1 Sep 2009 → 3 Sep 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume8
ISSN (Print)1474-6670

Conference

Conference8th IFAC Workshop on Time-Delay Systems, TDS'09
Country/TerritoryRomania
CitySinaia
Period1/09/09 → 3/09/09

    Research areas

  • Lyapunov matrices, Lyapunov-Krasovskii approach, Systems with periodic coefficients, Time delay systems

    Scopus subject areas

  • Control and Systems Engineering

ID: 40335813