可调谐混合反馈振荡器
A tunable mixed feedback oscillator
摘要：
不同时间尺度上的正反馈回路和负反馈回路的相互作用似乎是生物系统和机电系统中鲁棒和可调谐振荡的基本机制。我们开发了一个详细的分析，一个基本的三维Lure模型，以显示如何控制振荡产生的正反馈和负反馈强度的调谐。我们的分析是基于优势理论，并确认，从系统理论的角度来看，混合反馈是一个基本的使能器的鲁棒振荡。我们的结果不限于三维系统，并通过无源性理论扩展到更大的系统，并通过小增益参数的不确定系统。
英文摘要：
The interplay of positive and negative feedback loops on different time scales appears to be a fundamental mechanisms for robust and tunable oscillations in both biological systems and electro-mechanical systems. We develop a detailed analysis of a basic three dimensional Lure model to show how controlled oscillations arise from the tuning of positive and negative feedback strengths. Our analysis is based on dominance theory and confirms, from a system-theoretic perspective, that the mixed feedback is a fundamental enabler of robust oscillations. Our results are not limited to three dimensional systems and extend to larger systems via passivity theory, and to uncertain systems via small gain arguments.
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