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

School of Science, Engineering & Technology (Harrisburg)

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 (US)
Pages (from-to)	661-673
Number of pages	13
Journal	Mathematics of Control, Signals, and Systems
Volume	36
Issue number	3
DOIs	https://doi.org/10.1007/s00498-024-00382-9
State	Published - Sep 2024

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Control and Optimization
Applied Mathematics

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

Abstract

All Science Journal Classification (ASJC) codes

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