Nonlinear modeling problems for dynamic systems with set-valued states

被引：1

作者：

Filippova, TF ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ekaterinburg 620219, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 09期

关键词：

differential inclusions; uncertain dynamic system; state constraints; viability theory; trajectory tube; funnel equation;

D O I：

10.1016/S0362-546X(01)00701-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to set-valued solutions of differential inclusions. The results related to the description of the evolution of set-valued phase states of uncertain systems are presented. The first and second order approximations for the trajectory tubes to differential inclusions based on the funnel equations, techniques are studied. The approaches under discussion are motivated by the theory of control under uncertainty conditions.

引用

页码：5909 / 5920

页数：12

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