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
收藏
页码：1669 / 1689
页数：21
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