关于互易行为的内部特征和最小电网络实现
On the internal signature and minimal electric network realizations of reciprocal behaviors
AI总结：
研究互易系统中偶 parity 和奇 parity 状态的最小电网络实现，提出新的状态数下界。
摘要：
在最近的一篇论文中，证明了（i）任何具有合理传递函数的互易系统都有一个特征对称的实现，其中每个状态具有偶或奇奇性；（ii）任何互易且被动的行为都可以作为由电阻、电感、电容和变压器组成的电网络的驱动点行为来实现。这些结果将经典结果扩展到包含不可控系统。在本文中，我们为不需要可控的互易系统建立了偶 parity 和奇 parity 状态数的新下界。
英文摘要：
In a recent paper, it was shown that (i) any reciprocal system with a proper transfer function possesses a signature-symmetric realization in which each state has either even or odd parity; and (ii) any reciprocal and passive behavior can be realized as the driving-point behavior of an electric network comprising resistors, inductors, capacitors and transformers. These results extended classical results to include uncontrollable systems. In this paper, we establish new lower bounds on the number of states with even parity (capacitors) and odd parity (inductors) for reciprocal systems that need not be controllable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
