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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Gaitsgory, V., Shvartsman, I. Averaging of a class of singularly perturbed control systems: a non-asymptotic result. Math. Control Signals Syst. (2024). https://doi.org/10.1007/s00498-024-00382-9
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DOI: https://doi.org/10.1007/s00498-024-00382-9