Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis

Marco A. Gomez, Alexey V. Egorov, Sabine Mondié, Alexey P. Zhabko

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

3 Цитирования (Scopus)

Аннотация

A new procedure for computing the delay Lyapunov matrix for periodic time-delay systems that is based on the numerical solution of a partial differential equations (PDE) system is presented. The introduction of a new set of boundary conditions that are satisfied by the PDE system allows us to propose a new methodology for computing the initial conditions required by the implemented numerical scheme. The potential of the presented results is demonstrated by obtaining robust stability conditions depending on the delay Lyapunov matrix with respect to the system parameters, the delay and the frequency. The theoretical results are applied to the widely known delayed Mathieu equation.

Язык оригиналаанглийский
Номер статьи104501
ЖурналSystems and Control Letters
Том132
DOI
СостояниеОпубликовано - 1 окт 2019

Предметные области Scopus

  • Системотехника
  • Компьютерные науки (все)
  • Общее машиностроение
  • Электротехника и электроника

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