On instantaneous control for a nonlinear parabolic boundary control problem

被引：0

作者：

Wachsmuth, D ^{[1
]}

机构：

[1] Tech Univ Berlin, Fak Math & Naturwissen 2, D-10523 Berlin, Germany

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2004年 / 25卷 / 1-2期

关键词：

optimal boundary control; parabolic equation; control constraints; instantaneous control; receding horizon;

D O I：

10.1081/NFA-120034123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method of instantaneous control type is considered for a nonlinear parabolic boundary control problem with box constraints on the control. It is shown that the method exhibits fixed points. In numerical examples, convergence towards a fixed point state occurs, which might be far away from the desired state. Consequently, a new hybrid method is suggested, which behaves essentially better than the standard method.

引用

页码：151 / 181

页数：31

共 50 条

[1] A Boundary Control Problem for a Nonlinear Parabolic Equation
V. I. Maksimov
Differential Equations, 2003, 39 : 1626 - 1632
[2] A boundary control problem for a nonlinear parabolic equation
Maksimov, VI
DIFFERENTIAL EQUATIONS, 2003, 39 (11) : 1626 - 1632
[3] On a Lagrange-Newton method for a nonlinear parabolic boundary control problem
Technical Univ of Chemnitz-Zwickau, Chemnitz, Germany
Optimization Methods and Software, 1998, 8 (3-4): : 225 - 247
[4] On a Lagrange-Newton method for a nonlinear parabolic boundary control problem
Goldberg, H
Troltzsch, F
OPTIMIZATION METHODS & SOFTWARE, 1998, 8 (3-4): : 225 - 247
[5] Nonlinear boundary control of semilinear parabolic systems
Ahmed, NU
Xiang, X
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (02) : 473 - 490
[6] BOUNDARY CONTROL PROBLEM FOR A PARABOLIC EQUATION WITH INVOLUTION
Dekhkonov, F. N.
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2024, 12 (03): : 22 - 34
[7] A positional control problem for a nonlinear parabolic system
Maksimov, VI
DIFFERENTIAL EQUATIONS, 2000, 36 (08) : 1202 - 1210
[8] A positional control problem for a nonlinear parabolic system
V. I. Maksimov
Differential Equations, 2000, 36 : 1202 - 1210
[9] Convergence results for a nonlinear parabolic control problem
Arnautu, V
Hömberg, D
Sokolowski, J
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1999, 20 (9-10) : 805 - 824
[10] Convergence results for a nonlinear parabolic control problem
Arnäutu, V.
Hömberg, D.
Sokolowski, J.
Numerical Functional Analysis and Optimization, 1999, 20 (09): : 805 - 824

← 1 2 3 4 5 →