Stabilization of the pendulum system by coupling with a heat equation

Dong Xia Zhao*, Jun Min Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this work, we study the stabilization of a pendulum system by coupling with a heat equation through the left boundary observation of the heat equation, while a velocity feedback of the pendulum system is designed to affect the same side heat flux of the heat equation. Based on the semigroup approach and Riesz basis method, the well-posedness and exponential stability of the system is deduced. Finally, some numerical simulations are presented to show the effectiveness of this feedback control design.

Original languageEnglish
Pages (from-to)2443-2449
Number of pages7
JournalJVC/Journal of Vibration and Control
Volume20
Issue number16
DOIs
Publication statusPublished - 20 Dec 2014

Keywords

  • Pendulum system
  • Riesz basis
  • exponential stability
  • heat equation
  • spectrum

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