Stability result of the Timoshenko system with delay and boundary feedback

Belkacem Said-Houari, Abdelaziz Soufyane

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

Our interest in this paper is to analyse the asymptotic behaviour of a Timoshenko beam system together with two boundary controls, with delay terms in the first and second equation. Assuming the weights of the delay are small enough, we show that the system is well-posed using the semigroup theory. Furthermore, we introduce a Lyapunov functional that gives the exponential decay of the total energy. © 2012 The author.
Original languageEnglish (US)
Pages (from-to)383-398
Number of pages16
JournalIMA Journal of Mathematical Control and Information
Volume29
Issue number3
DOIs
StatePublished - Jan 6 2012

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics
  • Control and Systems Engineering

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