论文标题

基于规定的约旦形式的无损电路的合成

Synthesis of lossless electric circuits based on prescribed Jordan forms

论文作者

Figotin, Alexander

论文摘要

我们在这里推进了无损电路的合成算法,使它们的进化矩阵具有处方的约旦规范形式,受自然限制。每个合成的电路都由旋转剂耦合的LC环的链状序列组成。所有涉及的电容,电感和旋转电阻均为正值或负数,其值是通过显式公式确定的值。电路必须至少具有一个负能力或电感,以使相关基质具有非平凡的Jordan块。

We advance here an algorithm of the synthesis of lossless electric circuits such that their evolution matrices have the prescribed Jordan canonical forms subject to natural constraints. Every synthesized circuit consists of a chain-like sequence of LC-loops coupled by gyrators. All involved capacitances, inductances and gyrator resistances are either positive or negative with values determined by explicit formulas. A circuit must have at least one negative capacitance or inductance for having a nontrivial Jordan block for the relevant matrix.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源