Stability Analysis of the Wave Equation with Delayed Boundary Conditions

Li Zhang, G. Stépán

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

Stability of the 1D wave equation with delayed boundary conditions is considered. By means of the traveling wave solution, the original system is transformed into a delay differential equation of neutral type which involves two delays. The complete and exact stability chart is presented for the delayed boundary problem in the parameter plane of the feedback gain between the boundaries and the ratio of the time delays.

Original languageEnglish
Pages (from-to)139-145
Number of pages7
JournalProcedia IUTAM
Volume22
DOIs
Publication statusPublished - Jan 1 2017
EventIUTAM Symposium on Nonlinear and Delayed Dynamics of Mechatronic Systems, IUTAM Symposia 2016 - Nanjing, China
Duration: Oct 17 2016Oct 21 2016

Keywords

  • delayed boundary condition
  • delayed feedback
  • stability chart
  • wave equation

ASJC Scopus subject areas

  • Mechanical Engineering

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