Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model

Ilyasse Aksikas, Joseph Winkin, Denis Dochain

Research output: Contribution to journalArticlepeer-review


The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinitedimensional (distributed parameter) semi-linear Banach stale space systems and the concept of strictly m-dissipative operator.

Original languageEnglish
Pages (from-to)781-786
Number of pages6
JournalIFAC Proceedings Volumes
Issue number13
Publication statusPublished - 1 Jan 2004
Event6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004 - Stuttgart, Germany
Duration: 1 Sept 20043 Sept 2004


  • Asymptotic stability
  • Non isothermal plug flow chemical reactor
  • Nonlinear semigroup of contractions
  • Partial differential equation
  • Semilinear infinite dimensional system
  • Strict m-dissipativity
  • Tubular reactor


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