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Unfortunately, one important negative issue can affect hybrid system models: the so-called <jats:italic>Zeno phenomenon<\/jats:italic>, which results in an infinite number of discrete transitions in a finite amount of time occurring during the model\u2019s simulation that leads to inconsistent results. In this context, the paper investigates the use of a recently proposed numerical algorithm, based on the <jats:italic>Infinity Computer<\/jats:italic> methodology, to handle the <jats:italic>Zeno phenomenon<\/jats:italic> and evaluate it with respect to standard numerical methods by considering the hybrid system models of two exemplary Cyber-Physical Systems: the <jats:italic>Water tanks<\/jats:italic> and the <jats:italic>Thermostat<\/jats:italic>.\n<\/jats:p>","DOI":"10.1007\/s00500-022-07715-3","type":"journal-article","created":{"date-parts":[[2022,12,16]],"date-time":"2022-12-16T05:05:58Z","timestamp":1671167158000},"page":"8189-8208","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Advantages of the usage of the Infinity Computer for reducing the Zeno behavior in hybrid system models"],"prefix":"10.1007","volume":"27","author":[{"given":"Alberto","family":"Falcone","sequence":"first","affiliation":[]},{"given":"Alfredo","family":"Garro","sequence":"additional","affiliation":[]},{"given":"Marat S.","family":"Mukhametzhanov","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1429-069X","authenticated-orcid":false,"given":"Yaroslav D.","family":"Sergeyev","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,12,16]]},"reference":[{"issue":"1","key":"7715_CR1","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/0304-3975(94)00202-T","volume":"138","author":"R Alur","year":"1995","unstructured":"Alur R, Courcoubetis C, Halbwachs N, Henzinger TA, Ho PH, Nicollin X, Olivero A, Sifakis J, Yovine S (1995) The algorithmic analysis of hybrid systems. 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