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

Vladimir Gaitsgory, Ilya Shvartsman*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-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 languageEnglish
    JournalMathematics of Control, Signals, and Systems
    DOIs
    Publication statusE-pub ahead of print - 13 Mar 2024

    Keywords

    • Averaging method
    • Optimal control
    • Singular perturbations

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