The approximation of reachable sets of control systems with integral constraint on controls

被引：0

作者：

K. G. Guseinov

O. Ozer

E. Akyar

V. N. Ushakov

机构：

[1] Anadolu University,Department of Mathematics

[2] Ural Division of the Russian Academy of Science,Institute for Mathematics and Mechanics

来源：

Nonlinear Differential Equations and Applications NoDEA | 2007年 / 14卷

关键词：

Primary 34A34; Secondary 93B03; Control system; Reachable set; Integral constraint;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper an approximation method for the construction of reachable sets of control systems with integral constraints on the control is considered. It is assumed that the control system is non-linear with respect to the phase state vector and is linear with respect to the control vector. The admissible control functions are chosen from the ball centered at the origin with radius μ0 in Lp, p > 1. The reachable set is replaced by the set which consists of finite number of points. The estimated accuracy of the Hausdorff distance between the reachable set and the set which is approximately constructed is obtained.

引用

下载

页码：57 / 73

页数：16

共 50 条

[1] The approximation of reachable sets of control systems with integral constraint on controls
Guseinov, K. G.
Ozer, O.
Akyar, E.
Ushakov, V. N.
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 14 (1-2): : 57 - 73
[2] Approximation of the attainable sets of the nonlinear control systems with integral constraint on controls
Guseinov, Khalik G.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 622 - 645
[3] On the continuity properties of the attainable sets of nonlinear control systems with integral constraint on controls
Guseinov, Khalik G.
Nazlipinar, Ali S.
ABSTRACT AND APPLIED ANALYSIS, 2008,
[4] Control Systems Depending on a Parameter: Reachable Sets and Integral Funnels
Ushakov, V. N.
Ershov, A. A.
Ushakov, A., V
MECHANICS OF SOLIDS, 2022, 57 (07) : 1672 - 1688
[5] External Estimates of Reachable Sets for Control Systems with Integral Constraints
I. V. Zykov
Journal of Mathematical Sciences, 2025, 288 (1) : 106 - 113
[6] 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
[7] A numerical method for the approximation of reachable sets of linear control systems
Shao, Lizhen
Zhao, Fangyuan
Hu, Guangda
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2019, 36 (02) : 423 - 441
[8] Control Systems Depending on a Parameter: Reachable Sets and Integral Funnels
V. N. Ushakov
A. A. Ershov
A. V. Ushakov
Mechanics of Solids, 2022, 57 : 1672 - 1688
[9] An algorithm for approximate calculation of the attainable sets of the nonlinear control systems with integral constraint on controls
Guseinov, Khalik G.
Nazlipinar, Ali S.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) : 1887 - 1895
[10] Sets Invariant Under an Integral Constraint on Controls
Tukhtasinov, M.
Ibragimov, U.
RUSSIAN MATHEMATICS, 2011, 55 (08) : 59 - 65

← 1 2 3 4 5 →