负阻电路的耗散性分析
Dissipativity analysis of negative resistance circuits
摘要：
本文分析了将无源元件（电容器、电感器和电阻器）与非线性电阻器互连的非线性电路，该非线性电阻器具有一定的$\it{negative}$电阻范围。这种有源元件是设计开关和振荡电路所必需的。我们推广了经典的无源性理论的电路分析，以考虑这种非平衡行为。该方法密切模仿（增量）耗散理论的经典方法，但耗散不等式结合$\it{signed}$存储功能和$\it{signed}$供应率占被动和主动元素的混合物。
英文摘要：
This paper deals with the analysis of nonlinear circuits that interconnect passive elements (capacitors, inductors, and resistors) with nonlinear resistors exhibiting a range of $\it{negative}$ resistance. Such active elements are necessary to design circuits that switch and oscillate. We generalize the classical passivity theory of circuit analysis to account for such non-equilibrium behaviors. The approach closely mimics the classical methodology of (incremental) dissipativity theory, but with dissipation inequalities that combine $\it{signed}$ storage functions and $\it{signed}$ supply rates to account for the mixture of passive and active elements.
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