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Lyapunov Function for the Nonlinear Moog Voltage Controlled Filter

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 نشر من قبل Stefan Bilbao
 تاريخ النشر 2021
  مجال البحث
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 تأليف Stefan Bilbao




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In this short report, a new Lyapunov function for the Moog voltage-controlled filter is demonstrated, under zero-input conditions, and under nonlinear autonomous conditions (i.e. when parameters are not time-varying). The new definition allows for a proof of stability over the entire allowable range of parameters (cutoff frequency and resonance), and can be used as a starting point for Hamiltonian-based numerical simulation methods.



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