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arXiv 2103.16379eess.SYcs.SY
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混合反馈系统的振荡

Oscillations in Mixed-Feedback Systems

Amritam Das, Thomas Chaffey, Rodolphe Sepulchre

摘要:

提出了一种分析混合反馈系统极限环振荡的新方法。极限环的计算被重新表述为一个混合单调关系,即两个最大单调关系之差的零发现。然后,该问题可以有效地解决借用现有的算法,最大限度地减少两个凸函数的差异。在经典的Van der Pol振子上说明了该方法的潜力。

英文摘要:

A new method is presented for the analysis of limit cycle oscillations in mixed-feedback systems. The calculation of the limit cycle is reformulated as the zero finding of a mixed-monotone relation, that is, of the difference of two maximally monotone relations. The problem can then be solved efficiently by borrowing existing algorithms that minimize the difference of two convex functions. The potential of the method is illustrated on the classical Van der Pol oscillator.

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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