Abstract
In the present paper, we consider a control system with feedback in the form of sweeping processes in Hilbert spaces. Using the notion of generalized metric space and A. I. Perov’s contraction mapping principle, we present a theorem on the existence and uniqueness of an almost periodic solution of this system and justify the application of the averaging principle to systems of this kind.
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Translated from Matematicheskie Zametki, 2023, Vol. 114, pp. 104–112 https://doi.org/10.4213/mzm13925.
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Kamenskii, M.I., Obukhovskii, V.V. & Petrosyan, G.G. On Almost Periodic Trajectories of Control Systems with Feedback in the Form of Sweeping Processes. Math Notes 114, 85–91 (2023). https://doi.org/10.1134/S0001434623070088
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DOI: https://doi.org/10.1134/S0001434623070088