On a local synthesis problem for nonlinear systems with integral constraints

被引：1

作者：

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

Osipov, I. O. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Dept Optimal Control, Ural Branch,Phys & Math, Ul S Kovalevskoi 16, Ekaterinburg 620219, Russia

[2] Russian Acad Sci, Inst Math & Mech, Dept Optimal Control, Ural Branch, Ul S Kovalevskoi 16, Ekaterinburg 620219, Russia

来源：

VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI | 2022年 / 32卷 / 02期

关键词：

nonlinear system; controllability set; integral constraints; linearization; Bellman equation; local synthesis; small-time; asymptotics; REACHABLE SETS;

D O I：

10.35634/vm220202

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper considers the problem of leading a nonlinear control system to the origin of coordinates at a given integral control resource on a finite time interval. We investigate the question of the construction of local control synthesis that solves the problem, assuming that the time interval during which the system is moved is sufficiently small. We indicate sufficient conditions under which the problem can be solved by the approximate replacement of the nonlinear system by its linearization in the neighborhood of the origin.

引用

页码：171 / 186

页数：16

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