On the Existence of a Periodic Mode in a Nonlinear System

We consider a nonlinear control system with a bang-bang hysteresis control, which is a simplified model of a thermal energy harvester. We obtain conditions on the controller and the system parameters guaranteeing the existence of a periodic mode in the system.

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Veröffentlicht in:	Differential equations 2021-08, Vol.57 (8), p.1076-1087
Hauptverfasser:	Fursov, A. S., Mitrev, R. P., Krylov, P. A., Todorov, T. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Control systems Control Theory Difference and Functional Equations Force and energy Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
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Beschreibung
Zusammenfassung:	We consider a nonlinear control system with a bang-bang hysteresis control, which is a simplified model of a thermal energy harvester. We obtain conditions on the controller and the system parameters guaranteeing the existence of a periodic mode in the system.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266121080127