Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel

    Research output

    2 Citations (Scopus)

    Abstract

    In this contribution, we study time-delay systems with distributed delay whose kernel is piecewise constant. It is shown that the problem of finding a Lyapunov matrix for this class of time-delay systems can be reduced to the computation of solutions to an auxiliary system of linear differential equations with boundary conditions. The problem of solving the auxiliary system is then reduced to the solution of a system of linear algebraic equations. It is established that the auxiliary system with boundary conditions admits a unique solution if and only if there exists a unique Lyapunov matrix.

    Original languageEnglish
    Pages (from-to)1298-1305
    Number of pages8
    JournalInternational Journal of Control
    Volume92
    Issue number6
    DOIs
    Publication statusPublished - 3 Jun 2019

    Scopus subject areas

    • Applied Mathematics
    • Computer Science Applications

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