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

Vladimir Gaitsgory; Ilya Shvartsman

doi:10.1007/s00498-024-00382-9

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

Vladimir Gaitsgory, Ilya Shvartsman^*

^*Corresponding author for this work

School of Mathematical and Physical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	661-673
Number of pages	13
Journal	Mathematics of Control, Signals, and Systems
Volume	36
Issue number	3
Early online date	13 Mar 2024
DOIs	https://doi.org/10.1007/s00498-024-00382-9
Publication status	Published - Sept 2024

Keywords

Averaging method
Optimal control
Singular perturbations

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abstract = "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.",

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

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Keywords

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