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arXiv math/0503117math.OC
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无源增益的概念和稳定性“割线条件”的推广

A notion of passivity gain and a generalization of the "secant condition" for stability

Eduardo D. Sontag

摘要:

将经典的标量线性系级联稳定性割线条件推广到无源系统。关键是引入一个量,该量结合了级联中每个系统的增益和相位信息。对于一维线性方程组,精确地恢复了已知的结果。

英文摘要:

A generalization of the classical secant condition for the stability of cascades of scalar linear systems is provided for passive systems. The key is the introduction of a quantity that combines gain and phase information for each system in the cascade. For linear one-dimensional systems, the known result is recovered exactly.

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。

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