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.

引用

页码：1042 / 1046

页数：5

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