Asymptotic stability of infinite-dimensional semilinear systems: Application to a nonisothermal reactor

被引：26
作者：
Aksikas, Ilyasse
Winkin, Joseph J.
Dochain, Denis
机构：
[1] Catholic Univ Louvain, CESAME, B-1348 Louvain, Belgium
[2] Univ Namur, Dept Math, B-5000 Namur, Belgium
来源：
SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 02期
关键词：
nonlinear contraction semigroup; asymptotic stability; strict m-dissipativity; nonlinear infinite dimensional systems; partial differential equation; nonisothermal plug flow reactor; tubular chemical reactor;
D O I：
10.1016/j.sysconle.2006.08.012
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 infinite-dimensional semilinear Banach state space (distributed parameter) systems. Asymptotic stability criteria are established, which are based on the concept of strictly m-dissipative operator. These theoretical results are applied to a nonisothermal plug flow tubular reactor model, which is described by semilinear partial differential equations, derived from mass and energy balances. In particular it is shown that, under suitable conditions on the model parameters, some equilibrium profiles are asymptotically stable equilibriums of such model. (c) 2006 Elsevier B.V. All rights reserved.
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页码：122 / 132
页数：11
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