Small-Time Reachable Sets of Linear Systems with Integral Control Constraints: Birth of the Shape of a Reachable Set

被引：10

作者：

Goncharova, Elena ^{[1
]}

Ovseevich, Alexander ^{[2
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Syst Dynam & Control Theory, Irkutsk 664003, Russia

[2] Russian Acad Sci, Inst Problems Mech, Moscow, Russia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 168卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Linear control systems; Reachable sets; Shapes of convex bodies; APPROXIMATIONS;

D O I：

10.1007/s10957-015-0754-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The paper is concerned with small-time reachable sets of a linear dynamical system under integral constraints on control. The main result is the existence of a limit shape of the reachable sets as time tends to zero. A precise estimate for the rate of convergence is given.

引用

页码：615 / 624

页数：10

共 50 条

[1] Small-Time Reachable Sets of Linear Systems with Integral Control Constraints: Birth of the Shape of a Reachable Set
Elena Goncharova
Alexander Ovseevich
Journal of Optimization Theory and Applications, 2016, 168 : 615 - 624
[2] Linearized control systems and small-time reachable sets
Kaya, C.Y.
Noakes, J.L.
IMA Journal of Mathematical Control and Information, 12 (03):
[3] On Asymptotics of Small-Time Reachable Sets for Nonlinear Systems with Isoperimetric Constraints
Gusev, Mikhail I.
IFAC PAPERSONLINE, 2021, 54 (14): : 173 - 178
[4] On Convexity of Small-time Reachable Sets of Nonlinear Control Systems
Gusev, M., I
Osipov, I. O.
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2019, 2164
[5] Asymptotic behavior of small-time reachable sets of nonlinear systems with isoperimetric constraints
Gusev, M., I
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2020, 26 (01): : 89 - 101
[6] THE STRUCTURE OF SMALL-TIME REACHABLE SETS IN LOW DIMENSIONS
KRENER, AJ
SCHATTLER, H
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (01) : 120 - 147
[7] External Estimates of Reachable Sets for Control Systems with Integral Constraints
I. V. Zykov
Journal of Mathematical Sciences, 2025, 288 (1) : 106 - 113
[8] On external estimates of reachable sets of control systems with integral constraints
Zykov, I. V.
IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2019, 53 : 61 - 72
[9] Birth of the shape of a reachable set
Goncharova, E. V.
Ovseevich, A. I.
DOKLADY MATHEMATICS, 2013, 88 (02) : 605 - 607
[10] Birth of the shape of a reachable set
E. V. Goncharova
A. I. Ovseevich
Doklady Mathematics, 2013, 88 : 605 - 607

← 1 2 3 4 5 →