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.

中文翻译：

---

关于具有滞后的非线性系统中振荡模式的存在性

我们研究了通过双稳态滞后开关形式的反馈关闭的受控非线性系统中振荡模式的存在。该系统是热能收集器的简化数学模型。建立了控制器和系统参数的条件，以保证该系统中振荡模式的存在。