On Almost Periodic Trajectories of Control Systems with Feedback in the Form of Sweeping Processes

On Almost Periodic Trajectories of Control Systems with Feedback in the Form of Sweeping Processes

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 t...

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Veröffentlicht in:Mathematical Notes 2023-08, Vol.114 (1-2), p.85-91
Hauptverfasser: Kamenskii, M. I., Obukhovskii, V. V., Petrosyan, G. G.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Control systems
Existence theorems
Feedback
Hilbert space
Mathematics
Mathematics and Statistics
Metric space
Principles
Sweeping
Trajectory control
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Beschreibung
Zusammenfassung: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434623070088