Numerical methods for the stability of time-periodic hybrid time-delay systems with applications

David Lehotzky, T. Insperger, G. Stépán

Research output: Contribution to journalArticle

3 Citations (Scopus)


This paper extends two numerical methods for the stability analysis of a class of time-periodic hybrid time-delay systems. In particular, the pseudospectral tau and spectral element methods are extended to hybrid systems. The analyzed delay-differential equation involves delayed terms with both continuous and piecewise constant arguments, in other words, it involves delays both without and with zero-order hold, respectively. The analyzed class of hybrid systems can be used to describe time-periodic hereditary processes subjected to digital feedback control. The proposed numerical algorithms are applied to the mathematical models of haptic systems and milling processes subjected to digital feedback control.

Original languageEnglish
Pages (from-to)142-162
Number of pages21
JournalApplied Mathematical Modelling
Publication statusPublished - May 1 2018



  • Digital control
  • Haptic system
  • Hybrid system
  • Milling process
  • Time-delay system
  • Time-periodic system

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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