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

    Результат исследований: Научные публикации в периодических изданияхстатья

    2 Цитирования (Scopus)

    Выдержка

    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.

    Язык оригиналаанглийский
    Страницы (с-по)1298-1305
    Число страниц8
    ЖурналInternational Journal of Control
    Том92
    Номер выпуска6
    DOI
    СостояниеОпубликовано - 3 июн 2019

    Отпечаток

    Time-delay Systems
    Lyapunov
    Time delay
    Boundary conditions
    kernel
    Linear equations
    Differential equations
    Distributed Delay
    Linear differential equation
    Algebraic Equation
    Unique Solution
    Linear equation
    If and only if
    Class

    Предметные области Scopus

    • Прикладная математика
    • Прикладные компьютерные науки

    Цитировать

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    Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel. / Aliseyko, A. N.

    В: International Journal of Control, Том 92, № 6, 03.06.2019, стр. 1298-1305.

    Результат исследований: Научные публикации в периодических изданияхстатья

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