Adaptive stabilization of a Timoshenko system by boundary feedback controls

Jamilu Hashim Hassan*, Nasser eddine Tatar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this work, we investigate the global existence and boundary adaptive stabilization of an undamped Timoshenko beam equation subject to two control inputs at the right end. High gain adaptive regulators are designed based on the velocity feedbacks measured at the right end. We prove an exponential stability result for the system using the multiplier method.

Original languageEnglish
Pages (from-to)657-666
Number of pages10
JournalMathematical Methods in the Applied Sciences
Volume45
Issue number2
DOIs
StatePublished - 30 Jan 2022

Bibliographical note

Funding Information:
The authors would like to express their gratitude to King Fahd University of Petroleum and Minerals (KFUPM) for its continuous support. This work is funded by KFUPM. This work does not have any conflicts of interest.

Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.

Keywords

  • Timoshenko system
  • adaptive stabilization
  • boundary control
  • closed-loop system
  • exponential stability

ASJC Scopus subject areas

  • Mathematics (all)
  • Engineering (all)

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