{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T13:49:53Z","timestamp":1777902593706,"version":"3.51.4"},"reference-count":37,"publisher":"SAGE Publications","issue":"7","license":[{"start":{"date-parts":[[2024,5,18]],"date-time":"2024-05-18T00:00:00Z","timestamp":1715990400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["SIMULATION"],"published-print":{"date-parts":[[2024,7]]},"abstract":"<jats:p>\n                    This paper presents \u03c0HyFlow, a modular approach to the process interaction worldview (PI). Traditionally, PI supports a set of interacting processes without enabling modular and hierarchical model definition. \u03c0HyFlow basic models define a dynamic set of processes while also enabling a modular interface for supporting model composition. \u03c0HyFlow allows an exact representation of continuous signals based on the concepts of dense outputs, and generalized sampling. \u03c0HyFlow ability to support accurate models of hybrid systems is presented through a DC-DC converter (DCC) based on a resistor\u2013capacitor (RC) electrical circuit. The DCC output voltage can be modeled by a first-order differential equation that is solved using an exponential time differencing (ETD) integrator. The DCC network model uses a digital on-off controller and an ETD. Simulation results are generated by \u03c0HyFlow\n                    <jats:sup>++<\/jats:sup>\n                    , a C++ implementation of the formalism.\n                  <\/jats:p>","DOI":"10.1177\/00375497241238457","type":"journal-article","created":{"date-parts":[[2024,5,18]],"date-time":"2024-05-18T06:33:21Z","timestamp":1716014001000},"page":"643-655","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Defining hybrid hierarchical models in\n                    <i>\u03c0<\/i>\n                    H\n                    <scp>Y<\/scp>\n                    F\n                    <scp>LOW<\/scp>"],"prefix":"10.1177","volume":"100","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3792-2354","authenticated-orcid":false,"given":"Fernando J","family":"Barros","sequence":"first","affiliation":[{"name":"Department of Informatics Engineering, University of Coimbra, Coimbra, Portugal"}]}],"member":"179","published-online":{"date-parts":[[2024,5,18]]},"reference":[{"key":"bibr1-00375497241238457","doi-asserted-by":"publisher","DOI":"10.1145\/182.358460"},{"key":"bibr2-00375497241238457","doi-asserted-by":"publisher","DOI":"10.1145\/365813.365819"},{"key":"bibr3-00375497241238457","volume-title":"Theory of modelling and simulation","author":"Zeigler B","year":"1976"},{"key":"bibr4-00375497241238457","first-page":"1571","volume-title":"Winter simulation conference","author":"Barros F"},{"key":"bibr5-00375497241238457","doi-asserted-by":"publisher","DOI":"10.1080\/03081070290008011"},{"key":"bibr6-00375497241238457","volume-title":"Building simulation models with SIMSCRIPT II.5","author":"Russel E","year":"1999"},{"key":"bibr7-00375497241238457","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-26236-4_23"},{"key":"bibr8-00375497241238457","doi-asserted-by":"publisher","DOI":"10.1109\/MC.2006.180"},{"key":"bibr9-00375497241238457","unstructured":"Barros F. 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