Skip to main navigation Skip to search Skip to main content

The stability for a one-dimensional unstable heat equation with nonlinear boundary uncertainty disturbance

  • Jun Jun Liu*
  • , Jun Min Wang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this note, we are concerned with the boundary stabilization of a one-dimensional heat equation with the external disturbance flowing to the control end. The nonlinear uncertainty is estimated in terms of the output, and then canceled by its estimates. We show that this strategy is valid when the derivative of the disturbance is also bounded. The numerical simulation validates the effectiveness of this method.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages2641-2645
Number of pages5
ISBN (Electronic)9789881563842
DOIs
Publication statusPublished - 11 Sept 2014
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • Boundary control
  • Heat equation
  • High-gain
  • Nonlinear uncertainty
  • Stability

Fingerprint

Dive into the research topics of 'The stability for a one-dimensional unstable heat equation with nonlinear boundary uncertainty disturbance'. Together they form a unique fingerprint.

Cite this