Title
Exponential stability of nonlinear infinite-dimensional systems: Application to nonisothermal axial dispersion tubular reactors
Abstract
Exponential stability of equilibria of nonlinear distributed parameter systems is considered. A general framework is set with related assumptions. In particular it is shown how to get local exponential stability of an equilibrium profile for the corresponding nonlinear system based on stability results for the linearized one. For this purpose a weakened concept of Fréchet differentiability is required for the nonlinear semigroup generated by the nonlinear model, with links to Al Jamal and Morris (2018). The theoretical results are applied to a nonisothermal axial dispersion tubular reactor model and are illustrated with numerical simulations.
Year
DOI
Venue
2020
10.1016/j.automatica.2020.109201
Automatica
Keywords
DocType
Volume
Nonlinear distributed parameter systems,Fréchet/Gâteaux derivatives,Equilibrium profiles,Nonisothermal axial dispersion tubular reactor,Bistability
Journal
121
Issue
ISSN
Citations 
1
0005-1098
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Anthony Hastir100.68
Joseph J. Winkin213728.89
Denis Dochain319232.96