Exponential stabilization of the rotating disk-beam system with an interior infinite memory control: A minimal state framework

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Abstract

This article is consecrated to the asymptotic analysis of the rotating disk-beam system subject to an interior infinite memory. Within the minimal state framework, we are able to show that the system is well-posed and its solutions exponentially converge to their equilibrium state. The proof of such outcomes requires a reasonable boundedness condition on the angular velocity of the disk and standard assumptions on the memory kernel involved in the memory term.

Original languageEnglish
Pages (from-to)158-164
Number of pages7
JournalApplied Mathematics Letters
Volume92
DOIs
Publication statusPublished - Jun 2019
Externally publishedYes

Keywords

  • Interior infinite memory
  • Minimal state variable
  • Rotating disk-beam
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics

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