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arXiv · 2104.04376

Lyapunov Function for the Nonlinear Moog Voltage Controlled Filter

Stefan Bilbao
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Abstract

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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Stefan Bilbao. 2021-04-09. Lyapunov Function for the Nonlinear Moog Voltage Controlled Filter. https://arxiv.org/abs/2104.04376

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