On the Existence of Oscillatory Modesin a Nonlinear System with Hystereses

On the Existence of Oscillatory Modesin a Nonlinear System with Hystereses

We study the existence of oscillatory modes in a controlled nonlinear system closed by a feedback in the form of a bistable hysteretic switch. The system is a simplified mathematical model of a thermal energy harvester. Conditions on the controller and on the system parameters are established that g...

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Veröffentlicht in:Differential equations 2020-01, Vol.56 (8), p.1081-1099
Hauptverfasser: Fursov, A S, Todorov, T S, Krylov, P A, Mitrev, R P
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Differential equations
Energy harvesting
Mathematics
Nonlinear control
Nonlinear systems
Thermal energy
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container_title Differential equations
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creator Fursov, A S
Todorov, T S
Krylov, P A
Mitrev, R P
description We study the existence of oscillatory modes in a controlled nonlinear system closed by a feedback in the form of a bistable hysteretic switch. The system is a simplified mathematical model of a thermal energy harvester. Conditions on the controller and on the system parameters are established that guarantee the existence of oscillatory modes in this system.
doi_str_mv 10.1134/S0012266120080108
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subjects Differential equations
Energy harvesting
Mathematics
Nonlinear control
Nonlinear systems
Thermal energy
title On the Existence of Oscillatory Modesin a Nonlinear System with Hystereses
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