TY - JOUR
T1 - Averaging of a class of singularly perturbed control systems
T2 - a non-asymptotic result
AU - Gaitsgory, Vladimir
AU - Shvartsman, Ilya
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2024.
PY - 2024/9
Y1 - 2024/9
N2 - 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.
AB - 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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U2 - 10.1007/s00498-024-00382-9
DO - 10.1007/s00498-024-00382-9
M3 - Article
AN - SCOPUS:85187644341
SN - 0932-4194
VL - 36
SP - 661
EP - 673
JO - Mathematics of Control, Signals, and Systems
JF - Mathematics of Control, Signals, and Systems
IS - 3
ER -