Dissipativity for Lur'e distributed parameter control systems

被引：2

作者：

Lun, Shuxian ^{[1
]}

Tai, Zhixin ^{[1
]}

机构：

[1] Bohai Univ, Dept Automat, Coll Engn, Jinzhou 121013, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 04期

关键词：

Dissipativity; Distributed parameter systems; Heat equation; Linear operator inequalities (LOIs); DYNAMICAL-SYSTEMS;

D O I：

10.1016/j.aml.2011.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this this work, dissipativity of Lur'e distributed parameter control systems has been addressed. Delay-dependent sufficient conditions for the dissipativity with respect to the infinite-dimensional version of energy supply rate (Q(1), S-1, R-1) characterized exclusively by unbounded operator Q(1) are established in terms of linear operator inequalities (LOIs). Finally, the heat equation illustrates our result. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：682 / 686

页数：5

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