Analysis of robustness of homogeneous systems with time delays using Lyapunov-Krasovskii functionals

D. Efimov, A. Aleksandrov

Research output: Contribution to journalArticlepeer-review

Abstract

This article is devoted to stability analysis of homogeneous time-delay systems applying the Lyapunov-Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of nonzero degree (and can also be used for any dynamics admitting a homogeneous approximation). The obtained stability conditions are utilized to evaluate the domain of attraction for the delayed twisting control algorithm.

Original languageEnglish
Pages (from-to)3730–3746
Number of pages17
JournalInternational Journal of Robust and Nonlinear Control
Volume31
Issue number9
Early online date17 Jul 2020
DOIs
StatePublished - 2021

Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering
  • Chemical Engineering(all)
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Biomedical Engineering

Keywords

  • homogeneous systems
  • Lyapunov-Krasovskii method
  • time delays
  • DIFFERENTIAL EQUATIONS
  • DESIGN
  • INDEPENDENT STABILITY
  • FINITE-TIME

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