Passivity-based control of networks of memristors and capacitors

This paper presents a mathematical framework for modelling networks of memristors and capacitors. Using this framework, we analyse the dynamic behaviour of the fluxes at the memristors in the network. In particular, we show that when no external input is applied to the network, the fluxes at the mem...

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Bibliographic Details
Published in:	Systems & control letters Vol. 203; p. 106156
Main Authors:	Huijzer, M.A., van der Schaft, A.J., Besselink, B.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.09.2025
Subjects:	Memristors Neuromorphic computing Non-linear electrical circuits Passivity-based control Passivity-based control Memristors Non-linear electrical circuits Neuromorphic computing
ISSN:	0167-6911
Online Access:	Get full text
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Summary:	This paper presents a mathematical framework for modelling networks of memristors and capacitors. Using this framework, we analyse the dynamic behaviour of the fluxes at the memristors in the network. In particular, we show that when no external input is applied to the network, the fluxes at the memristors converge towards an asymptotically stable equilibrium. Moreover, by taking inspiration from passivity-based control, we introduce two control strategies that can be used to steer the fluxes at the memristors in the direction of a desired equilibrium. The results presented in this work are particularly of interest to Neuromorphic Computing as that field suggests utilising memristors as the synaptic weights in hardware implementations of ANNs.
ISSN:	0167-6911
DOI:	10.1016/j.sysconle.2025.106156