Lyapunov Function for the Nonlinear Moog Voltage Controlled Filter

Research output: Book/ReportOther report

Abstract / Description of output

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.
Original languageEnglish
Number of pages5
Publication statusUnpublished - 9 Apr 2021

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