STABILITY AND GENERICITY OF BANG-BANG CONTROLS IN AFFINE PROBLEMS

被引：1

作者：

Corella, Alberto Dominguez ^{[1
]}

Wachsmuth, Gerd ^{[2
]}

机构：

[1] Friedrich Alexander Univ Erlangen Nurnberg, Chair Dynam Control Machine Learning & Numer Alexa, Dept Math, Erlangen, Germany

[2] Brandenburg Tech Univ Cottbus Senftenberg, Inst Math, Cottbus, Germany

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2024年 / 62卷 / 03期

基金：

奥地利科学基金会;

关键词：

bang-bang; affine optimal control; stability; genericity; QUADRATIC CONTROL-PROBLEMS; STRONG-CONVERGENCE; 2ND-ORDER ANALYSIS; DISCRETIZATION; APPROXIMATION; REGULARITY; MAPPINGS; WEAK;

D O I：

10.1137/23M1586446

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We analyze the role of the bang-bang property in affine optimal control problems. We show that many essential stability properties of affine problems are only satisfied when minimizers are bang-bang. We employ Stegall's variational principle to prove that almost any linear perturbation leads to a bang-bang strict global minimizer. Examples are given to show the applicability of our results to specific optimal control problems.

引用

页码：1669 / 1689

页数：21

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