Stability properties of a heat equation with state-dependent parameters and asymmetric boundary conditions

Christoph Josef Backi*, Jan Dimon Bendtsen, John Leth, Jan Tommy Gravdahl

*Corresponding author

Research output: Contribution to journalConference article in JournalResearchpeer-review

1 Citation (Scopus)

Abstract

In this work the stability properties of a partial differential equation (PDE) with state-dependent parameters and asymmetric boundary conditions are investigated. The PDE describes the temperature distribution inside foodstuff, but can also hold for other applications and phenomena. We show that the PDE converges to a stationary solution given by (fixed) boundary conditions which explicitly diverge from each other. Numerical simulations illustrate the results.

Original languageEnglish
Book seriesIFAC-PapersOnLine
Volume48
Pages (from-to)587-592
Number of pages6
ISSN2405-8963
DOIs
Publication statusPublished - 1 Jul 2015
Event1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems, MICNON 2015 - Saint Petersburg, Russian Federation
Duration: 24 Jun 201526 Jun 2015

Conference

Conference1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems, MICNON 2015
CountryRussian Federation
CitySaint Petersburg
Period24/06/201526/06/2015
Sponsoret al., International Federation of Automatic Control (IFAC) - Technical Committee on Adaptive and Learning Systems, International Federation of Automatic Control (IFAC) - Technical Committee on Modeling, Identification and Signal Processing, International Federation of Automatic Control (IFAC) - Technical Committee on Networked Systems, International Federation of Automatic Control (IFAC) - Technical Committee on Non-Linear Control Systems, International Federation of Automatic Control (IFAC) - Technical Committee on Optimal Control

Keywords

  • Heat equation
  • Parabolic PDE
  • Stability analysis
  • State-dependent parameters

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