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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Veröffentlicht in:Systems & control letters Jg. 203; S. 106156
Hauptverfasser: Huijzer, M.A., van der Schaft, A.J., Besselink, B.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.09.2025
Schlagworte:
Memristors
Neuromorphic computing
Non-linear electrical circuits
Passivity-based control
Passivity-based control
Memristors
Non-linear electrical circuits
Neuromorphic computing
ISSN:0167-6911
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Zusammenfassung: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