Exponential stabilization of a microbeam system with a boundary or distributed time delay

Baowei Feng, Boumediène Chentouf*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper addresses the stabilization problem of a microscale beam system subject to a delay. Several situations are considered depending whether the delay occurs as a boundary or interior/distributed term. In both cases, the microbeam system is shown to be well posed in the sense of semigroups theory of linear operators. More importantly, using the energy method, the exponential stability is established as long as the parameter of the delay term is small.

Original languageEnglish
Pages (from-to)11613-11630
Number of pages18
JournalMathematical Methods in the Applied Sciences
Volume44
Issue number14
DOIs
Publication statusPublished - Sep 30 2021
Externally publishedYes

Keywords

  • asymptotic stability in control theory
  • exponential stability
  • Lyapunov and other classical stabilities in control theory
  • stabilization of systems by feedback

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Fingerprint

Dive into the research topics of 'Exponential stabilization of a microbeam system with a boundary or distributed time delay'. Together they form a unique fingerprint.

Cite this