Averaging of a class of singularly perturbed control systems: a non-asymptotic result

被引：0

作者：

Gaitsgory, Vladimir ^{[1
]}

Shvartsman, Ilya ^{[2
]}

机构：

[1] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia

[2] Penn State Harrisburg, Dept Comp Sci & Math, Middletown, PA 17057 USA

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2024年 / 36卷 / 03期

关键词：

Singular perturbations; Averaging method; Optimal control; PERTURBATIONS;

D O I：

10.1007/s00498-024-00382-9

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 study a singularly perturbed control system whose variables are decomposed into groups that change their values with rates of different orders of magnitude. We establish that the slow trajectories of this system are dense in the set of solutions of a certain differential inclusion and discuss an implication of this result for optimal control.

引用

页码：661 / 673

页数：13

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