On asymptotic stability of semi-linear distributed parameter dissipative systems

被引：12
|
作者：
Aksikas, Ilyasse [1 ]
Forbes, J. Fraser [1 ]
机构：
[1] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada
来源：
AUTOMATICA | 2010年 / 46卷 / 06期
关键词：
Asymptotic stability; Semi-linear infinite-dimensional systems; Dissipativity; Nonlinear contraction semigroup;
D O I：
10.1016/j.automatica.2010.02.030
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The concept of asymptotic stability is studied for a class of semi-linear distributed parameter dissipative systems with nonlinearity defined on a convex subset of the state space. This is achieved by using infinite-dimensional Banach state space description 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 nonlineanties are studied by adapting the criteria given in the early portions of the paper. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：1042 / 1046
页数：5
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