{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T17:11:13Z","timestamp":1772989873770,"version":"3.50.1"},"reference-count":28,"publisher":"Wiley","issue":"11","license":[{"start":{"date-parts":[[2025,6,16]],"date-time":"2025-06-16T00:00:00Z","timestamp":1750032000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[2025,11]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>The energies absorbed by ideal switches in general capacitor\u2010switch circuits, both without and with topological degeneracy, are investigated through the so\u2010called asymptotic approach. The core of this approach (already used by the author to address the well\u2010known two\u2010capacitor paradox) is the embedding of each ideal switch into a family of non\u2010ideal switches with finite transition time, which converge to the ideal one when this parameter tends to zero. The conclusion of the investigation, performed through extensive use of graph theory and matrix calculus, is that the energy calculation is feasible, provided that each ideal switch is accompanied by information on its half\u2010rise resistance. This result is the main contribution and novelty of the paper. To illustrate the method, two examples are treated in detail: a series circuit with three capacitors and one switch, and a ladder circuit with three capacitors and two switches (without and with an additional bridge capacitor).<\/jats:p>","DOI":"10.1002\/cta.4592","type":"journal-article","created":{"date-parts":[[2025,6,16]],"date-time":"2025-06-16T04:16:14Z","timestamp":1750047374000},"page":"6745-6754","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Switches Absorbed Energies in Capacitor\u2010Switch Circuits: The Asymptotic Approach"],"prefix":"10.1002","volume":"53","author":[{"given":"Antonino\u00a0M.","family":"Sommariva","sequence":"first","affiliation":[{"name":"Dipartimento di Ingegneria dell'Informazione (DII) Universit\u00e0 di Brescia  Brescia Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,6,16]]},"reference":[{"key":"e_1_2_11_2_1","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cds:20030348"},{"key":"e_1_2_11_3_1","volume-title":"Linear Network Analysis","author":"Seshu S.","year":"1959"},{"key":"e_1_2_11_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/TE.1967.4320288"},{"key":"e_1_2_11_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TE.1968.4320379"},{"key":"e_1_2_11_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TE.1968.4320402"},{"key":"e_1_2_11_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/TE.1968.4320403"},{"key":"e_1_2_11_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/TE.1970.4320574"},{"key":"e_1_2_11_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1971.1083326"},{"key":"e_1_2_11_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1972.1083496"},{"key":"e_1_2_11_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490020106"},{"key":"e_1_2_11_12_1","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490060103"},{"key":"e_1_2_11_13_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1987.1086174"},{"key":"e_1_2_11_14_1","first-page":"1487","article-title":"Formulation for Switching Transformation Matrices of Large Switched Networks","volume":"2","author":"Tanaka M.","year":"1988","journal-title":"IEEE International Symposium on Circuits and Systems (ISCAS)"},{"key":"e_1_2_11_15_1","doi-asserted-by":"publisher","DOI":"10.1109\/31.52730"},{"key":"e_1_2_11_16_1","doi-asserted-by":"publisher","DOI":"10.1109\/31.135742"},{"key":"e_1_2_11_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/31.85634"},{"key":"e_1_2_11_18_1","doi-asserted-by":"publisher","DOI":"10.1109\/13.231509"},{"key":"e_1_2_11_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/81.269029"},{"key":"e_1_2_11_20_1","doi-asserted-by":"publisher","DOI":"10.1109\/81.382472"},{"key":"e_1_2_11_21_1","doi-asserted-by":"publisher","DOI":"10.1109\/81.611264"},{"key":"e_1_2_11_22_1","doi-asserted-by":"publisher","DOI":"10.1109\/81.611273"},{"key":"e_1_2_11_23_1","doi-asserted-by":"publisher","DOI":"10.1119\/1.1435344"},{"key":"e_1_2_11_24_1","doi-asserted-by":"publisher","DOI":"10.1119\/1.1643371"},{"key":"e_1_2_11_25_1","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.2010.5537944"},{"key":"e_1_2_11_26_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2010.2052511"},{"key":"e_1_2_11_27_1","doi-asserted-by":"publisher","DOI":"10.1109\/OJCAS.2020.2977216"},{"key":"e_1_2_11_28_1","doi-asserted-by":"publisher","DOI":"10.1002\/cta.3723"},{"key":"e_1_2_11_29_1","volume-title":"Basic Circuit Theory","author":"Desoer C. A.","year":"1969"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4592","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T19:00:33Z","timestamp":1762282833000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4592"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,16]]},"references-count":28,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2025,11]]}},"alternative-id":["10.1002\/cta.4592"],"URL":"https:\/\/doi.org\/10.1002\/cta.4592","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6,16]]},"assertion":[{"value":"2024-12-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-04-27","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-06-16","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}