Estimates of Reachable Sets of Multidimensional Control Systems with Nonlinear Interconnections

被引：13

作者：

Gusev, M. I. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Div, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 269卷

基金：

俄罗斯基础研究基金会;

关键词：

control system; reachable set; comparison principle; vector Lyapunov function;

D O I：

10.1134/S008154381006012X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to the problem of constructing external estimates for the reachable set of a multidimensional control system by means of vector estimators. A system is considered that permits a decomposition into several independent subsystems with simple structure (for example, linear subsystems), which are connected to each other by means of nonlinear interconnections. For each of the subsystems, an external estimate of the reachable set is assumed to be known; this estimate is representable in the form of a level set of some function satisfying a differential inequality. An estimate for the reachable set of the combined system is constructed with the use of estimates for subsystems. The method of deriving the estimates is based on constructing comparison systems for analogs of vector Lyapunov functions (value functions).

引用

页码：S134 / S146

页数：13

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