Stability criteria for dissipative semi-linear distributed parameter systems with application

Author

Aksikas, Ilyasse ; Forbes, J. Fraser

Author_Institution

Dept. of Chem. & Mater. Eng., Univ. of Alberta, Edmonton, AB, Canada

fYear

2009

fDate

23-26 Aug. 2009

Firstpage

1632

Lastpage

1637

Abstract

The concept of asymptotic stability is studied for a class of dissipative semi-linear infinite-dimensional Banach state space systems with nonlinearity defined on a convex subset of the state space. Stability criteria are established, which are based on a weaker technical condition of the m-dissipativity. These theoretical results are applied to a class of transport-reaction processes. Different types of nonlinearity are studied by adapting the criteria given in the early portions of the paper.

Keywords

Banach spaces; asymptotic stability; convex programming; distributed control; state-space methods; asymptotic stability; convex state space subset; dissipative semilinear distributed parameter systems; dissipative semilinear infinite-dimensional Banach state space systems; m-dissipativity; stability criteria; transport-reaction process; Abstracts; Asymptotic stability; Chemicals; Distributed parameter systems; Europe; Generators; Stability criteria; Asymptotic stability; dissipativity; nonlinear contraction semigroup; semi-linear infinite-dimensional systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2009 European

Conference_Location

Budapest

Print_ISBN

978-3-9524173-9-3

Type

conf

Filename

7074641