{"title":"忆阻器和电容网络的无源控制","authors":"M.A. Huijzer, A.J. van der Schaft, B. Besselink","doi":"10.1016/j.sysconle.2025.106156","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106156"},"PeriodicalIF":2.1000,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Passivity-based control of networks of memristors and capacitors\",\"authors\":\"M.A. Huijzer, A.J. van der Schaft, B. Besselink\",\"doi\":\"10.1016/j.sysconle.2025.106156\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":49450,\"journal\":{\"name\":\"Systems & Control Letters\",\"volume\":\"203 \",\"pages\":\"Article 106156\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2025-06-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems & Control Letters\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167691125001380\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691125001380","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
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 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.
期刊介绍:
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.