Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case

被引：0

作者：

Danilin A.R. ^{[1
]}

机构：

[1] Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, Yekaterinburg, 620219

来源：

Computational Mathematics and Mathematical Physics | 2006年 / 46卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic expansion; Optimal control; Singular perturbation; Small parameter; Smooth geometric constraints; Terminal cost functional;

D O I：

10.1134/S0965542506120062

中图分类号：

学科分类号：

摘要：

The optimal control problem for a linear system with fast and slow variables in the form of indirect control with a convex terminal cost functional and a smooth geometric constraint on the control is studied. An asymptotic expansion of the cost functional up to any power of a small parameter is constructed. © Nauka/Interperiodica 2006.

引用

页码：2068 / 2079

页数：11

共 38 条

[1] Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case
Danilin, A. R.
DIFFERENTIAL EQUATIONS, 2006, 42 (11) : 1545 - 1552
[2] Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case
A. R. Danilin
Differential Equations, 2006, 42 : 1545 - 1552
[3] Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint
Danilin, A. R.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2014, 20 (03): : 76 - 85
[4] Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint
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Proceedings of the Steklov Institute of Mathematics, 2015, 291 : 66 - 76
[5] Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint
Danilin, A. R.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2015, 291 : S66 - S76
[6] An indirect approach for singular optimal control problems
Andres-Martinez, Oswaldo
Biegler, Lorenz T.
Flores-Tlacuahuac, Antonio
COMPUTERS & CHEMICAL ENGINEERING, 2020, 139
[7] Asymptotic expansion of a solution to a singular perturbation optimal control problem with a small coercivity coefficient
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TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2018, 24 (03): : 51 - 61
[8] A complete asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with geometric constraints
Danilin, A. R.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (01): : 52 - 60
[9] A complete asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with geometric constraints
A. R. Danilin
Proceedings of the Steklov Institute of Mathematics, 2017, 296 : 119 - 127
[10] A Complete Asymptotic Expansion of a Solution to a Singular Perturbation Optimal Control Problem on an Interval with Geometric Constraints
Danilin, A. R.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2017, 296 (01) : S119 - S127

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