{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T18:07:32Z","timestamp":1773511652391,"version":"3.50.1"},"reference-count":32,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"publisher","award":["13FH144PA8"],"award-info":[{"award-number":["13FH144PA8"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,1,27]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The paper introduces a subclass of nonlinear differential-algebraic models of interest for applications. By restricting the nonlinearities to multilinear polynomials, it is possible to use modern tensor methods. This opens the door to new approximation and complexity reduction methods for large scale systems with relevant nonlinear behavior. The modeling procedures including composition, decomposition, normalization, and multilinearization steps are shown by an example of a local energy system with a nonlinear electrolyzer, a linear buck converter and a PI controller with saturation.<\/jats:p>","DOI":"10.1515\/auto-2021-0133","type":"journal-article","created":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T13:16:53Z","timestamp":1641993413000},"page":"13-30","source":"Crossref","is-referenced-by-count":11,"title":["Implicit multilinear modeling"],"prefix":"10.1515","volume":"70","author":[{"given":"Gerwald","family":"Lichtenberg","sequence":"first","affiliation":[{"name":"HAW Hamburg , Faculty Life Sciences , Hamburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Georg","family":"Pangalos","sequence":"additional","affiliation":[{"name":"Fraunhofer IWES , Application Center Integration of Local Energy Systems (ILES) , Hamburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carlos","family":"Cateriano Y\u00e1\u00f1ez","sequence":"additional","affiliation":[{"name":"Fraunhofer IWES , Application Center Integration of Local Energy Systems (ILES) , Hamburg , Germany"},{"name":"Universitat Polit\u00e8cnica de Val\u00e8ncia , Instituto Universitario de Autom\u00e1tica e Inform\u00e1tica Industrial , Val\u00e8ncia , Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aline","family":"Luxa","sequence":"additional","affiliation":[{"name":"Fraunhofer IWES , Application Center Integration of Local Energy Systems (ILES) , Hamburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Niklas","family":"J\u00f6res","sequence":"additional","affiliation":[{"name":"Fraunhofer IWES , Application Center Integration of Local Energy Systems (ILES) , Hamburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leona","family":"Schnelle","sequence":"additional","affiliation":[{"name":"HAW Hamburg , Faculty Life Sciences , Hamburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christoph","family":"Kaufmann","sequence":"additional","affiliation":[{"name":"Fraunhofer IWES , Application Center Integration of Local Energy Systems (ILES) , Hamburg , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2022,1,13]]},"reference":[{"key":"2023033111590345229_j_auto-2021-0133_ref_001","doi-asserted-by":"crossref","unstructured":"Bader, B.\u2009W. and T.\u2009G. 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