An algorithm for approximate calculation of the attainable sets of the nonlinear control systems with integral constraint on controls

被引：8

作者：

Guseinov, Khalik G. ^{[1
]}

Nazlipinar, Ali S. ^{[2
]}

机构：

[1] Anadolu Univ, Dept Math, Fac Sci, TR-26470 Eskisehir, Turkey

[2] Dumlupinar Univ, Dept Math, TR-43020 Kutahya, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 04期

关键词：

Nonlinear control systems; Integral constraint; Attainable set; Numerical methods; Biological system; MINIMUM ENERGY; TIME; REACHABILITY;

D O I：

10.1016/j.camwa.2011.06.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an algorithm for approximate calculation of the attainable sets of nonlinear control systems with integral constraint on controls is presented. A numerical example of the computer application of this algorithm is also given. (C) 2011 Elsevier Ltd. All rights reserved.

引用

下载

页码：1887 / 1895

页数：9

共 50 条

[1] 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
[2] 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,
[3] The approximation of reachable sets of control systems with integral constraint on controls
K. G. Guseinov
O. Ozer
E. Akyar
V. N. Ushakov
Nonlinear Differential Equations and Applications NoDEA, 2007, 14 : 57 - 73
[4] 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
[5] Approximate construction of attainability sets of control systems with integral constraints on the controls
Guseinov, KG
Neznakhin, AA
Ushakov, VN
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1999, 63 (04): : 557 - 567
[6] On the attainable sets of control systems with p-integrable controls
Lou, HW
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 123 (01) : 123 - 147
[7] On the Attainable Sets of Control Systems with p-Integrable Controls
H. W. Lou
Journal of Optimization Theory and Applications, 2004, 123 : 123 - 147
[8] On the continuity properties of the attainable sets of control systems with integral constraints on control
Guseinov, KG
Ozer, O
Akyar, E
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (03) : 433 - 449
[9] ATTAINABLE SETS IN SYSTEMS WITH UNBOUNDED CONTROLS
JACOBS, MQ
JOURNAL OF DIFFERENTIAL EQUATIONS, 1968, 4 (03) : 408 - &
[10] ON THE COMPACTNESS OF THE ATTAINABLE SETS OF CONTROL SYSTEMS WITH p-INTEGRABLE CONTROLS
Akyar, Emrah
MISKOLC MATHEMATICAL NOTES, 2008, 9 (01) : 17 - 24

← 1 2 3 4 5 →