The invariance principle for nonautonomous functional differential inclusions

被引：0

作者：

Finogenko, I. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Syst Dynam & Control Theory, Moscow, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2014年 / 20卷 / 01期

关键词：

limiting functional differential inclusion; nonautonomous system; quasi-invariant set; Lyapunov functional; invariance principle;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For nonautonomous functional differential inclusions, the notion of limiting functional differential inclusions is introduced, their properties are studied, invariance type properties of omega-limiting sets of solutions are investigated, and an analog of the LaSalle invariance principle with the use of Lyapunov functionals with constant-sign derivative is established.

引用

页码：271 / 284

页数：14

共 18 条

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