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.

中文翻译：

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基于规定的 Jordan 形式的无损电路的合成

我们在这里提出了一种合成无损电路的算法，使得它们的进化矩阵具有受自然约束的规定 Jordan 规范形式。每个合成电路都由由回转器耦合的链状 LC 回路序列组成。所有涉及的电容、电感和回转器电阻都是正值或负值，其值由明确的公式确定。电路必须至少有一个负电容或电感，才能为相关矩阵提供一个非平凡的 Jordan 块。