Semi-discretization method for delayed systems

Research output: Contribution to journalArticle

445 Citations (Scopus)

Abstract

The paper presents an efficient numerical method for the stability analysis of linear delayed systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and also time periodic, but still, it can be transformed analytically into a high-dimensional linear discrete system. The method is applied to determine the stability charts of the Mathieu equation with continuous time delay.

Original languageEnglish
Pages (from-to)503-518
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Volume55
Issue number5
DOIs
Publication statusPublished - Oct 20 2002

Fingerprint

Semidiscretization
Discretization Method
Convergence of numerical methods
Linear systems
Numerical methods
Time delay
Mathieu Equation
Discrete Systems
Chart
Continuous Time
Stability Analysis
Time Delay
High-dimensional
Discretization
Linear Systems
Numerical Methods

Keywords

  • Floquet theory
  • Linear stability
  • Periodic system
  • Time delay

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

Cite this

Semi-discretization method for delayed systems. / Insperger, T.; Stépán, G.

In: International Journal for Numerical Methods in Engineering, Vol. 55, No. 5, 20.10.2002, p. 503-518.

Research output: Contribution to journalArticle

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