On two-sided approximations of reachable sets of control systems with geometric constraints on the controls

被引：1

作者：

Ushakov, V. N. ^{[1
]}

Pershakov, M., V ^{[1
]}

机构：

[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620108, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2020年 / 26卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

control system; control; differential inclusion; geometric constraints; reachable set; approximation; DOMAINS;

D O I：

10.21538/0134-4889-2020-26-1-239-255

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear control system in Euclidean space on a finite time interval with controls subject to geometric constraints. The question of constructing lower and upper (by inclusion) approximations of reachable sets of this system is studied. Under certain conditions, estimates are obtained for the discrepancy (in the Hausdorff metric) between the lower and upper approximations of the reachable sets.

引用

页码：239 / 255

页数：17

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