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Positivity and stability are preserved, and an error bound in the $\\mathcal{H}_\\infty$-norm is provided.<\/jats:p>","DOI":"10.1137\/080734200","type":"journal-article","created":{"date-parts":[[2009,9,4]],"date-time":"2009-09-04T18:16:11Z","timestamp":1252088171000},"page":"2600-2619","source":"Crossref","is-referenced-by-count":22,"title":["Positivity Preserving Balanced Truncation for Descriptor Systems"],"prefix":"10.1137","volume":"48","author":[{"given":"Timo","family":"Reis","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Elena","family":"Virnik","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,9,4]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(01)00146-3"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"B. D. O. 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