论文标题
可调的混合反馈振荡器
A tunable mixed feedback oscillator
论文作者
论文摘要
在不同时间尺度上正面和负反馈循环的相互作用似乎是生物系统和电力机械系统中强大而可调振荡的基本机制。我们对基本的三维诱饵模型进行了详细的分析，以显示由正面和负面反馈强度的调整引起的控制振荡。我们的分析基于主导理论，并从系统理论的角度证实，混合反馈是鲁棒振荡的基本推动者。我们的结果不仅限于三维系统，并通过被动性理论扩展到更大的系统，也可以通过小收益参数不确定系统。
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.
