Incremental input-to-state stability for Lur'e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing

被引：5
作者：
Gilmore, Max E. [1 ]
Guiver, Chris [2 ]
Logemann, Hartmut [1 ]
机构：
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
[2] Edinburgh Napier Univ, Sch Engn & Built Environm, Merchiston Campus,10 Colinton Rd, Edinburgh EH10 5DT, Midlothian, Scotland
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 300卷
关键词：
Absolute stability; Almost periodic functions; Circle criterion; Differential inclusions; Incremental (integral) input-to-state stability; Lur'e systems; CIRCLE CRITERION;
D O I：
10.1016/j.jde.2021.08.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove (integral) input-to-state stability results for a class of forced Lur'e differential inclusions and use them to investigate incremental (integral) input-to-state stability properties of Lur'e differential equations. The latter provide a basis for the derivation of convergence results for trajectories of Lur'e equations generated by Stepanov almost periodic inputs. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：692 / 733
页数：42
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