Response and stability analysis of periodic delayed systems with discontinuous distributed delay

Oleg A. Bobrenkov, Morad Nazari, Eric Butcher

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this paper, the analysis of delay differential equations with periodic coefficients and discontinuous distributed delay is carried out through discretization by the Chebyshev spectral continuous time approximation (ChSCTA). These features are introduced in the delayed Mathieu equation with discontinuous distributed delay which is used as an illustrative example. The efficiency of stability analysis is improved by using shifted Chebyshev polynomials for computing the monodromy matrix, as well as the adaptive meshing of the parameter plane. An idea for a method for numerical integration of periodic DDEs with discontinuous distributed delay based on existing MATLAB functions is proposed.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalJournal of Computational and Nonlinear Dynamics
Volume7
Issue number3
DOIs
StatePublished - 2012
Externally publishedYes

Fingerprint

Distributed Delay
Time varying systems
MATLAB
Stability Analysis
Differential equations
Polynomials
Delay Differential Equations
Adaptive Meshing
Mathieu Equation
Periodic Coefficients
Monodromy
Chebyshev Polynomials
Chebyshev
Numerical integration
Continuous Time
Discretization
Computing
Approximation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Response and stability analysis of periodic delayed systems with discontinuous distributed delay. / Bobrenkov, Oleg A.; Nazari, Morad; Butcher, Eric.

In: Journal of Computational and Nonlinear Dynamics, Vol. 7, No. 3, 2012, p. 1-12.

Research output: Contribution to journalArticle

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