Modelling of memristor networks and the effective memristor
This paper presents a mathematical framework for the modelling and analysis of networks of memristors, where we describe a memristor as a monotone relation between electric charge and magnetic flux. Using this framework, we show that the port behaviour of networks of monotone memristors can equivale...
Uložené v:
| Vydané v: | Automatica (Oxford) Ročník 171; s. 111922 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier Ltd
01.01.2025
|
| Predmet: | |
| ISSN: | 0005-1098 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | This paper presents a mathematical framework for the modelling and analysis of networks of memristors, where we describe a memristor as a monotone relation between electric charge and magnetic flux. Using this framework, we show that the port behaviour of networks of monotone memristors can equivalently be described by a single monotone memristor, the so-called effective memristor. The behaviour of the effective memristor is influenced by the monotonicity properties of the single memristors and the structure of the network of memristors. An algorithm is provided to derive an explicit characterisation of the effective memristor of any network of memristors. In addition, explicit bounds on the effective memristance curve are derived in terms of the effective resistance of associated resistor networks. Finally, an explicit description of the port behaviour of series and parallel interconnections is derived and simulation examples are provided for two simple circuits. |
|---|---|
| AbstractList | This paper presents a mathematical framework for the modelling and analysis of networks of memristors, where we describe a memristor as a monotone relation between electric charge and magnetic flux. Using this framework, we show that the port behaviour of networks of monotone memristors can equivalently be described by a single monotone memristor, the so-called effective memristor. The behaviour of the effective memristor is influenced by the monotonicity properties of the single memristors and the structure of the network of memristors. An algorithm is provided to derive an explicit characterisation of the effective memristor of any network of memristors. In addition, explicit bounds on the effective memristance curve are derived in terms of the effective resistance of associated resistor networks. Finally, an explicit description of the port behaviour of series and parallel interconnections is derived and simulation examples are provided for two simple circuits. |
| ArticleNumber | 111922 |
| Author | van der Schaft, Arjan Besselink, Bart Huijzer, Anne-Men |
| Author_xml | – sequence: 1 givenname: Anne-Men surname: Huijzer fullname: Huijzer, Anne-Men email: m.a.huijzer@rug.nl – sequence: 2 givenname: Arjan surname: van der Schaft fullname: van der Schaft, Arjan email: a.j.van.der.schaft@rug.nl – sequence: 3 givenname: Bart surname: Besselink fullname: Besselink, Bart email: b.besselink@rug.nl |
| BookMark | eNqNkM1KAzEUhbOoYFt9h7zAjPkZMxkEQYtaoeJG1yFNbjR1JpEkVnx7p1QouNHV5cA5H3x3hiYhBkAIU1JTQsXZptYfJQ66eKNrRlhTU0o7xiZoSgg5ryjp5DGa5bwZY0Mlm6KLh2ih7314wdHhAYbkc4kJByifMb1lrIPF5RUwOAem-C0cSifoyOk-w-nPnaPn25unxbJaPd7dL65WleFClkp2zvDGWcokp0JK3VpOhGi4aThZrzsAxqFhohXAW-6obQUBCYyClGI9luZI7rkmxZwTOPWe_KDTl6JE7cTVRh3E1U5c7cXH6eWvqfFlrMVQkvb9fwDXewCMglsPSWXjIRiwPo3_UDb6vyHfLgB_wQ |
| CitedBy_id | crossref_primary_10_1016_j_sysconle_2025_106156 crossref_primary_10_1016_j_ejcon_2025_101335 |
| Cites_doi | 10.1038/nature06932 10.1137/050645452 10.1016/j.bica.2016.11.002 10.1109/PROC.1976.10092 10.1021/nl904092h 10.1109/5.58356 10.1080/13873951003690824 10.3389/fnins.2013.00002 10.1109/TSP.2007.912270 10.1038/nmat4756 10.1016/j.laa.2011.02.024 10.1109/TCT.1971.1083337 10.3389/fnins.2011.00026 10.1109/LCSYS.2023.3282102 10.1109/JPROC.2015.2444094 10.1109/TCYB.2020.2997686 10.1038/s41563-019-0291-x 10.1016/j.sysconle.2010.05.005 10.1109/LED.2011.2163292 10.1137/0126030 |
| ContentType | Journal Article |
| Copyright | 2024 The Author(s) |
| Copyright_xml | – notice: 2024 The Author(s) |
| DBID | 6I. AAFTH AAYXX CITATION |
| DOI | 10.1016/j.automatica.2024.111922 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| ExternalDocumentID | 10_1016_j_automatica_2024_111922 S0005109824004163 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1~. 1~5 23N 3R3 4.4 457 4G. 5GY 5VS 6I. 6TJ 7-5 71M 8P~ 9JN 9JO AAAKF AAAKG AABNK AACTN AAEDT AAEDW AAFTH AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARIN AAXKI AAXUO ABFNM ABFRF ABJNI ABMAC ABUCO ABWVN ABXDB ACBEA ACDAQ ACGFO ACGFS ACNNM ACRLP ACRPL ADBBV ADEZE ADIYS ADMUD ADNMO ADTZH AEBSH AECPX AEFWE AEIPS AEKER AENEX AFFNX AFJKZ AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHPGS AI. AIEXJ AIKHN AITUG AKRWK ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU APLSM ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 EBS EFJIC EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HAMUX HLZ HVGLF HZ~ H~9 IHE J1W JJJVA K-O KOM LG9 LY7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ RXW SBC SDF SDG SDP SES SET SEW SPC SPCBC SSB SSD SST SSZ T5K T9H TAE TN5 VH1 WH7 WUQ X6Y XPP ZMT ~G- 77I 9DU AATTM AAYWO AAYXX ABUFD ACLOT ACVFH ADCNI AEUPX AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP APXCP CITATION EFKBS EFLBG ~HD |
| ID | FETCH-LOGICAL-c368t-89fc34fd12831688a7d306643c430bb9ee23e42676e373f1d760e8e21e886bc43 |
| ISICitedReferencesCount | 2 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001321530200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0005-1098 |
| IngestDate | Sat Nov 29 08:10:16 EST 2025 Tue Nov 18 21:50:46 EST 2025 Sat Mar 08 15:48:10 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Memristors Non-linear electrical circuits Application of nonlinear analysis and design Neuromorphic computing |
| Language | English |
| License | This is an open access article under the CC BY license. |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c368t-89fc34fd12831688a7d306643c430bb9ee23e42676e373f1d760e8e21e886bc43 |
| OpenAccessLink | https://dx.doi.org/10.1016/j.automatica.2024.111922 |
| ParticipantIDs | crossref_primary_10_1016_j_automatica_2024_111922 crossref_citationtrail_10_1016_j_automatica_2024_111922 elsevier_sciencedirect_doi_10_1016_j_automatica_2024_111922 |
| PublicationCentury | 2000 |
| PublicationDate | January 2025 2025-01-00 |
| PublicationDateYYYYMMDD | 2025-01-01 |
| PublicationDate_xml | – month: 01 year: 2025 text: January 2025 |
| PublicationDecade | 2020 |
| PublicationTitle | Automatica (Oxford) |
| PublicationYear | 2025 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Ghosh, Boyd, Saberi (b14) 2008; 50 Bollobás (b2) 1998 Desoer, Wu (b9) 1974; 26 Budhathoki, Sah, Adhikari, Kim, Chua (b3) 2013; 60 Corinto, Forti, Chua (b8) 2021 Chua, Kang (b5) 1976; 64 Corinto, Forti (b7) 2017; 64 Serrano-Gotarredona, Masquelier, Prodromakis, Indiveri, Linares-Barranco (b29) 2013; 7 Zamarreño-Ramos, Camuñas-Mesa, Pérez-Carrasco, Masquelier, Serrano-Gotarredona, Linares-Barranco (b39) 2011; 5 (b31) 2017; vol. 701 Barooah, Hespanha (b1) 2008; 56 Chua (b4) 1971; 18 Nesterov (b24) 2004 van der Schaft (b32) 2010; 59 van der Schaft (b33) 2017 Jeltsema, van der Schaft (b19) 2010; 16 James, Aimone, Miner, Vineyard, Rothganger, Carlson (b18) 2017; 19 (b22) 1989 Mead (b21) 1990; 78 Wang, Joshi, Savel’ev, Jiang, Midya, Lin (b35) 2016; 16 Huijzer, van der Schaft, Besselink (b16) 2023; 7 Ryu, Yin (b28) 2022 Ellens, Spieksma, van Mieghem, Jamakovic, Kooij (b13) 2011; 435 Yu, Iu, Liang, Fernando, Chua (b38) 2015; 62 (b34) 2016; vol. 19 Strukov, Snider, Stewart, Williams (b30) 2008; 453 Indiveri, Liu (b17) 2015; 103 Huijzer, van der Schaft, Besselink (b15) 2021 Minty (b23) 1960; 257 Jo, Chang, Ebong, Bhadviya, Mazumder, Lu (b20) 2010; 10 Rockafellar (b27) 1984 Xia, Yang (b36) 2019; 18 Doyle, Snell (b12) 1984 Dörfler, Bullo (b11) 2013; 60 Corinto, Forti (b6) 2016; 63 Di Marco, Forti, Pancioni, Innocenti, Tesi (b10) 2022; 52 Nocedal, Wright (b25) 2006 Yakopcic, Taha, Subramanyam, Pino, Rogers (b37) 2011; 32 Rieck, Cipollini, Salverda, Quinteros, Schomaker, Noheda (b26) 2022 (10.1016/j.automatica.2024.111922_b34) 2016; vol. 19 Yakopcic (10.1016/j.automatica.2024.111922_b37) 2011; 32 Corinto (10.1016/j.automatica.2024.111922_b7) 2017; 64 Rockafellar (10.1016/j.automatica.2024.111922_b27) 1984 Ghosh (10.1016/j.automatica.2024.111922_b14) 2008; 50 Indiveri (10.1016/j.automatica.2024.111922_b17) 2015; 103 Huijzer (10.1016/j.automatica.2024.111922_b15) 2021 Huijzer (10.1016/j.automatica.2024.111922_b16) 2023; 7 Barooah (10.1016/j.automatica.2024.111922_b1) 2008; 56 Di Marco (10.1016/j.automatica.2024.111922_b10) 2022; 52 Strukov (10.1016/j.automatica.2024.111922_b30) 2008; 453 Corinto (10.1016/j.automatica.2024.111922_b6) 2016; 63 Yu (10.1016/j.automatica.2024.111922_b38) 2015; 62 Mead (10.1016/j.automatica.2024.111922_b21) 1990; 78 (10.1016/j.automatica.2024.111922_b22) 1989 Jeltsema (10.1016/j.automatica.2024.111922_b19) 2010; 16 Xia (10.1016/j.automatica.2024.111922_b36) 2019; 18 Rieck (10.1016/j.automatica.2024.111922_b26) 2022 (10.1016/j.automatica.2024.111922_b31) 2017; vol. 701 Ryu (10.1016/j.automatica.2024.111922_b28) 2022 Zamarreño-Ramos (10.1016/j.automatica.2024.111922_b39) 2011; 5 Chua (10.1016/j.automatica.2024.111922_b5) 1976; 64 Ellens (10.1016/j.automatica.2024.111922_b13) 2011; 435 Serrano-Gotarredona (10.1016/j.automatica.2024.111922_b29) 2013; 7 Bollobás (10.1016/j.automatica.2024.111922_b2) 1998 Doyle (10.1016/j.automatica.2024.111922_b12) 1984 van der Schaft (10.1016/j.automatica.2024.111922_b32) 2010; 59 James (10.1016/j.automatica.2024.111922_b18) 2017; 19 Jo (10.1016/j.automatica.2024.111922_b20) 2010; 10 Dörfler (10.1016/j.automatica.2024.111922_b11) 2013; 60 Chua (10.1016/j.automatica.2024.111922_b4) 1971; 18 Minty (10.1016/j.automatica.2024.111922_b23) 1960; 257 Corinto (10.1016/j.automatica.2024.111922_b8) 2021 Budhathoki (10.1016/j.automatica.2024.111922_b3) 2013; 60 Desoer (10.1016/j.automatica.2024.111922_b9) 1974; 26 Nocedal (10.1016/j.automatica.2024.111922_b25) 2006 van der Schaft (10.1016/j.automatica.2024.111922_b33) 2017 Nesterov (10.1016/j.automatica.2024.111922_b24) 2004 Wang (10.1016/j.automatica.2024.111922_b35) 2016; 16 |
| References_xml | – volume: 32 start-page: 1436 year: 2011 end-page: 1438 ident: b37 article-title: A memristor device model publication-title: IEEE Electron Device Letters – year: 2021 ident: b8 article-title: Nonlinear circuits and systems with memristors – volume: 62 start-page: 1607 year: 2015 end-page: 1616 ident: b38 article-title: Dynamic behavior of coupled memristor circuits publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 5 year: 2011 ident: b39 article-title: On spike-timing-dependent-plasticity, memristive devices, and building a self-learning visual cortex publication-title: Frontiers in Neuroscience – volume: 7 year: 2013 ident: b29 article-title: STDP and STDP variations with memristors for spiking neuromorphic learning systems publication-title: Frontiers in Neuroscience – volume: 60 start-page: 2688 year: 2013 end-page: 2700 ident: b3 article-title: Composite behavior of multiple memristor circuits publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 16 start-page: 101 year: 2016 end-page: 108 ident: b35 article-title: Memristors with diffusive dynamics as synaptic emulators for neuromorphic computing publication-title: Nature Materials – volume: 60 start-page: 150 year: 2013 end-page: 163 ident: b11 article-title: Kron reduction of graphs with applications to electrical networks publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – year: 1984 ident: b12 article-title: Random walks and electric networks – volume: 10 start-page: 1297 year: 2010 end-page: 1301 ident: b20 article-title: Nanoscale memristor device as synapse in neuromorphic systems publication-title: Nano Letters – volume: 64 start-page: 209 year: 1976 end-page: 223 ident: b5 article-title: Memristive devices and systems publication-title: Proceedings of the IEEE – volume: 63 start-page: 1997 year: 2016 end-page: 2009 ident: b6 article-title: Memristor circuits: Flux-charge analysis method publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 19 start-page: 49 year: 2017 end-page: 64 ident: b18 article-title: A historical survey of algorithms and hardware architectures for neural-inspired and neuromorphic computing applications publication-title: Biologically Inspired Cognitive Architectures – volume: 50 start-page: 37 year: 2008 end-page: 66 ident: b14 article-title: Minimizing effective resistance of a graph publication-title: SIAM Review – volume: 103 start-page: 1379 year: 2015 end-page: 1397 ident: b17 article-title: Memory and information processing in neuromorphic systems publication-title: Proceedings of the IEEE – volume: vol. 701 year: 2017 ident: b31 publication-title: Advances in memristors, memristive devices and systems – volume: 64 start-page: 1540 year: 2017 end-page: 1551 ident: b7 article-title: Memristor circuits: Bifurcations without parameters publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 7 start-page: 1849 year: 2023 end-page: 1854 ident: b16 article-title: Synchronization in electrical circuits with memristors and grounded capacitors publication-title: IEEE Control Systems Letters – year: 1989 ident: b22 publication-title: Analog VLSI implementation of neural systems – volume: 435 start-page: 2491 year: 2011 end-page: 2506 ident: b13 article-title: Effective graph resistance publication-title: Linear Algebra and its Applications – volume: 257 start-page: 194 year: 1960 end-page: 212 ident: b23 article-title: Monotone networks publication-title: Proceedings of the Royal Society of London Series A – year: 2021 ident: b15 article-title: Robustness of the terminal behaviour of resistive electrical networks publication-title: 2021 60th Conference on decision and control – volume: 26 start-page: 315 year: 1974 end-page: 333 ident: b9 article-title: Nonlinear monotone networks publication-title: SIAM Journal on Applied Mathemematics – volume: 18 start-page: 507 year: 1971 end-page: 519 ident: b4 article-title: Memristor-the missing circuit element publication-title: IEEE Transactions on Circuit Theory – volume: 453 start-page: 80 year: 2008 end-page: 83 ident: b30 article-title: The missing memristor found publication-title: Nature – year: 2006 ident: b25 article-title: Numerical optimization – volume: 16 start-page: 75 year: 2010 end-page: 93 ident: b19 article-title: Memristive port-Hamiltonian systems publication-title: Mathematical and Computer Modelling of Dynamical Systems – volume: 56 start-page: 2181 year: 2008 end-page: 2193 ident: b1 article-title: Estimation from relative measurements: Electrical analogy and large graphs publication-title: IEEE Transactions on Signal Processing – volume: 78 start-page: 1629 year: 1990 end-page: 1636 ident: b21 article-title: Neuromorphic electronic systems publication-title: Proceedings of the IEEE – year: 2017 ident: b33 article-title: -Gain and passivity techniques in nonlinear control – volume: vol. 19 year: 2016 ident: b34 publication-title: Memristor-based nanoelectronic computing circuits and architectures – year: 1984 ident: b27 publication-title: Network flows and monotropic optimization – year: 1998 ident: b2 article-title: Modern graph theory – volume: 18 start-page: 309 year: 2019 end-page: 323 ident: b36 article-title: Memristive crossbar arrays for brain-inspired computing publication-title: Nature Materials – year: 2022 ident: b26 article-title: Ferroelastic domain walls in BiFeO publication-title: Advanced Intelligent Systems – year: 2022 ident: b28 article-title: Large-scale convex optimization: Algorithms and analyses via monotone operators – year: 2004 ident: b24 article-title: Introductory lectures on convex optimization: a basic course – volume: 59 start-page: 423 year: 2010 end-page: 428 ident: b32 article-title: Characterization and partial synthesis of the behavior of resistive circuits at their terminals publication-title: Systems & Control Letters – volume: 52 start-page: 1822 year: 2022 end-page: 1835 ident: b10 article-title: Memristor neural networks for linear and quadratic programming problems publication-title: IEEE Transactions on Cybernetics – volume: 453 start-page: 80 issue: 7191 year: 2008 ident: 10.1016/j.automatica.2024.111922_b30 article-title: The missing memristor found publication-title: Nature doi: 10.1038/nature06932 – year: 1984 ident: 10.1016/j.automatica.2024.111922_b12 – year: 2021 ident: 10.1016/j.automatica.2024.111922_b8 – volume: 50 start-page: 37 issue: 1 year: 2008 ident: 10.1016/j.automatica.2024.111922_b14 article-title: Minimizing effective resistance of a graph publication-title: SIAM Review doi: 10.1137/050645452 – volume: 19 start-page: 49 year: 2017 ident: 10.1016/j.automatica.2024.111922_b18 article-title: A historical survey of algorithms and hardware architectures for neural-inspired and neuromorphic computing applications publication-title: Biologically Inspired Cognitive Architectures doi: 10.1016/j.bica.2016.11.002 – volume: 64 start-page: 209 issue: 2 year: 1976 ident: 10.1016/j.automatica.2024.111922_b5 article-title: Memristive devices and systems publication-title: Proceedings of the IEEE doi: 10.1109/PROC.1976.10092 – volume: 63 start-page: 1997 issue: 11 year: 2016 ident: 10.1016/j.automatica.2024.111922_b6 article-title: Memristor circuits: Flux-charge analysis method publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 10 start-page: 1297 issue: 4 year: 2010 ident: 10.1016/j.automatica.2024.111922_b20 article-title: Nanoscale memristor device as synapse in neuromorphic systems publication-title: Nano Letters doi: 10.1021/nl904092h – year: 1989 ident: 10.1016/j.automatica.2024.111922_b22 – year: 2006 ident: 10.1016/j.automatica.2024.111922_b25 – volume: 78 start-page: 1629 issue: 10 year: 1990 ident: 10.1016/j.automatica.2024.111922_b21 article-title: Neuromorphic electronic systems publication-title: Proceedings of the IEEE doi: 10.1109/5.58356 – volume: 16 start-page: 75 issue: 2 year: 2010 ident: 10.1016/j.automatica.2024.111922_b19 article-title: Memristive port-Hamiltonian systems publication-title: Mathematical and Computer Modelling of Dynamical Systems doi: 10.1080/13873951003690824 – volume: vol. 19 year: 2016 ident: 10.1016/j.automatica.2024.111922_b34 – volume: 62 start-page: 1607 issue: 6 year: 2015 ident: 10.1016/j.automatica.2024.111922_b38 article-title: Dynamic behavior of coupled memristor circuits publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – year: 1984 ident: 10.1016/j.automatica.2024.111922_b27 – year: 2022 ident: 10.1016/j.automatica.2024.111922_b26 article-title: Ferroelastic domain walls in BiFeO3 as memristive networks publication-title: Advanced Intelligent Systems – year: 2022 ident: 10.1016/j.automatica.2024.111922_b28 – year: 2021 ident: 10.1016/j.automatica.2024.111922_b15 article-title: Robustness of the terminal behaviour of resistive electrical networks – volume: 7 year: 2013 ident: 10.1016/j.automatica.2024.111922_b29 article-title: STDP and STDP variations with memristors for spiking neuromorphic learning systems publication-title: Frontiers in Neuroscience doi: 10.3389/fnins.2013.00002 – volume: 56 start-page: 2181 issue: 6 year: 2008 ident: 10.1016/j.automatica.2024.111922_b1 article-title: Estimation from relative measurements: Electrical analogy and large graphs publication-title: IEEE Transactions on Signal Processing doi: 10.1109/TSP.2007.912270 – volume: 64 start-page: 1540 issue: 6 year: 2017 ident: 10.1016/j.automatica.2024.111922_b7 article-title: Memristor circuits: Bifurcations without parameters publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 16 start-page: 101 issue: 1 year: 2016 ident: 10.1016/j.automatica.2024.111922_b35 article-title: Memristors with diffusive dynamics as synaptic emulators for neuromorphic computing publication-title: Nature Materials doi: 10.1038/nmat4756 – volume: 435 start-page: 2491 issue: 10 year: 2011 ident: 10.1016/j.automatica.2024.111922_b13 article-title: Effective graph resistance publication-title: Linear Algebra and its Applications doi: 10.1016/j.laa.2011.02.024 – year: 1998 ident: 10.1016/j.automatica.2024.111922_b2 – volume: 18 start-page: 507 issue: 5 year: 1971 ident: 10.1016/j.automatica.2024.111922_b4 article-title: Memristor-the missing circuit element publication-title: IEEE Transactions on Circuit Theory doi: 10.1109/TCT.1971.1083337 – volume: 60 start-page: 150 issue: 1 year: 2013 ident: 10.1016/j.automatica.2024.111922_b11 article-title: Kron reduction of graphs with applications to electrical networks publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 5 year: 2011 ident: 10.1016/j.automatica.2024.111922_b39 article-title: On spike-timing-dependent-plasticity, memristive devices, and building a self-learning visual cortex publication-title: Frontiers in Neuroscience doi: 10.3389/fnins.2011.00026 – volume: 7 start-page: 1849 year: 2023 ident: 10.1016/j.automatica.2024.111922_b16 article-title: Synchronization in electrical circuits with memristors and grounded capacitors publication-title: IEEE Control Systems Letters doi: 10.1109/LCSYS.2023.3282102 – volume: 60 start-page: 2688 issue: 10 year: 2013 ident: 10.1016/j.automatica.2024.111922_b3 article-title: Composite behavior of multiple memristor circuits publication-title: IEEE Transactions on Circuits and Systems I: Regular Papers – volume: 103 start-page: 1379 issue: 8 year: 2015 ident: 10.1016/j.automatica.2024.111922_b17 article-title: Memory and information processing in neuromorphic systems publication-title: Proceedings of the IEEE doi: 10.1109/JPROC.2015.2444094 – volume: vol. 701 year: 2017 ident: 10.1016/j.automatica.2024.111922_b31 – volume: 52 start-page: 1822 issue: 3 year: 2022 ident: 10.1016/j.automatica.2024.111922_b10 article-title: Memristor neural networks for linear and quadratic programming problems publication-title: IEEE Transactions on Cybernetics doi: 10.1109/TCYB.2020.2997686 – volume: 18 start-page: 309 issue: 4 year: 2019 ident: 10.1016/j.automatica.2024.111922_b36 article-title: Memristive crossbar arrays for brain-inspired computing publication-title: Nature Materials doi: 10.1038/s41563-019-0291-x – year: 2017 ident: 10.1016/j.automatica.2024.111922_b33 – volume: 257 start-page: 194 issue: 1289 year: 1960 ident: 10.1016/j.automatica.2024.111922_b23 article-title: Monotone networks publication-title: Proceedings of the Royal Society of London Series A – volume: 59 start-page: 423 issue: 7 year: 2010 ident: 10.1016/j.automatica.2024.111922_b32 article-title: Characterization and partial synthesis of the behavior of resistive circuits at their terminals publication-title: Systems & Control Letters doi: 10.1016/j.sysconle.2010.05.005 – volume: 32 start-page: 1436 issue: 10 year: 2011 ident: 10.1016/j.automatica.2024.111922_b37 article-title: A memristor device model publication-title: IEEE Electron Device Letters doi: 10.1109/LED.2011.2163292 – volume: 26 start-page: 315 issue: 2 year: 1974 ident: 10.1016/j.automatica.2024.111922_b9 article-title: Nonlinear monotone networks publication-title: SIAM Journal on Applied Mathemematics doi: 10.1137/0126030 – year: 2004 ident: 10.1016/j.automatica.2024.111922_b24 |
| SSID | ssj0004182 |
| Score | 2.4936097 |
| Snippet | This paper presents a mathematical framework for the modelling and analysis of networks of memristors, where we describe a memristor as a monotone relation... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 111922 |
| SubjectTerms | Application of nonlinear analysis and design Memristors Neuromorphic computing Non-linear electrical circuits |
| Title | Modelling of memristor networks and the effective memristor |
| URI | https://dx.doi.org/10.1016/j.automatica.2024.111922 |
| Volume | 171 |
| WOSCitedRecordID | wos001321530200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 issn: 0005-1098 databaseCode: AIEXJ dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: false ssIdentifier: ssj0004182 providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3PS8MwFA46PehB_Im_6cGbVNamWxJ2qjJRURGcsFtp0xQd2o2uyvCv96VJ06oDp-CljJKka9_X15fke99D6KhJ4pbrCWInTUJsL0xcWcid2lTwMIwoBBCkSBS-Jre3tN9nd5rEPi7KCZA0pZMJG_2rqeEcGFumzv7C3GZQOAG_wehwBLPDcSbDy-pmSmi72Dp_KcQDsuNU8b3HhjKpmBySOGQa1SNV_zUfFnKuYaFIOlEkeFbB4Gnwrithg6u2b6qUMpkRJRUq7vljqHy8nw0qEJ5KtXK5b6y3O_L6woPbqi08lM5UipiqItLGmaqCKtodgiNlKu34m6dWiwYDydPRdwOTddc7qbp8Fsf-8tEyVMKSpTYIqpECOVKgRppHCy5pMfDZC_5lt39VJc06VEnJ67vQNC9F_pv-r6bHLrV4pLeKVvREwvIVANbQnEjX0XJNXnIDdQwUrGFiGStbJRQsgIIFULAMFKpGm-jhvNs7u7B1sQyb4zbNbcoSjr0khnhD1iKjIYlhNgjxJvdwM4qYEC4WEI6RtsAEJ05M2k1BhesIStsRNNpCjXSYim1kEQyfQUbh7Y5jzyGCibiFEx5yHAmY_SY7iJSPIeBaSV4WNHkOfjLGDnJMz5FSU5mhT6d80oGOClW0FwCUfuy9-4cr7qGlCu_7qJFnr-IALfK3_GmcHWocfQBN54ip |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Modelling+of+memristor+networks+and+the+effective+memristor&rft.jtitle=Automatica+%28Oxford%29&rft.au=Huijzer%2C+Anne-Men&rft.au=van+der+Schaft%2C+Arjan&rft.au=Besselink%2C+Bart&rft.date=2025-01-01&rft.issn=0005-1098&rft.volume=171&rft.spage=111922&rft_id=info:doi/10.1016%2Fj.automatica.2024.111922&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_automatica_2024_111922 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0005-1098&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0005-1098&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0005-1098&client=summon |