Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
