{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:09:57Z","timestamp":1759939797742},"reference-count":45,"publisher":"Informa UK Limited","issue":"7","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Control"],"published-print":{"date-parts":[[2021,7,3]]},"DOI":"10.1080\/00207179.2019.1670360","type":"journal-article","created":{"date-parts":[[2019,9,20]],"date-time":"2019-09-20T05:51:32Z","timestamp":1568958692000},"page":"1734-1750","update-policy":"http:\/\/dx.doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":3,"title":["Frequency domain integrals for stability preservation in Galerkin-type projection-based model order reduction"],"prefix":"10.1080","volume":"94","author":[{"given":"Roland","family":"Pulch","sequence":"first","affiliation":[{"name":"Institute of Mathematics and Computer Science, University of Greifswald, Greifswald, Germany"}]}],"member":"301","published-online":{"date-parts":[[2019,9,26]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1137\/100788860"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718713"},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(00)00291-3"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1137\/130932715"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-27909-1"},{"key":"CIT0006","unstructured":"Benner, P. & Schneider, A. (2010). Balanced truncation model order reduction for LTI systems with many inputs or outputs. Proceedings 19th international symposium on mathematical theory of networks and systems (pp. 1971\u20131974),\u00a0Budapest, Hungary."},{"key":"CIT0007","doi-asserted-by":"crossref","unstructured":"Benner, P. & Stykel, T. (2017). Model order reduction of differential-algebraic equations: A survey. In A. Ilchmann & T. Reis (Eds.), Surveys in differential-algebraic equations IV, Differential-algebraic equations forum (pp. 107\u2013160). Berlin: Springer.","DOI":"10.1007\/978-3-319-46618-7_3"},{"key":"CIT0008","unstructured":"Bertram, C. & Fa\u00dfbender, H. (2019). Lyapunov and Sylvester equations: A quadrature framework. arXiv:1903.05383."},{"key":"CIT0009","volume-title":"Differential equations and their applications","author":"Braun M.","year":"1983","edition":"3"},{"key":"CIT0010","doi-asserted-by":"publisher","DOI":"10.1137\/15M1032296"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1515\/auto-2016-0137"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.3166\/ejc.18.122-132"},{"key":"CIT0013","unstructured":"Davis, T. A. (2018). UMFPACK user guide (Technical Report, version 5.7.7)."},{"key":"CIT0014","doi-asserted-by":"publisher","DOI":"10.1615\/Int.J.UncertaintyQuantification.2016016646"},{"key":"CIT0015","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492902000120"},{"key":"CIT0016","doi-asserted-by":"publisher","DOI":"10.1080\/00207170410001713448"},{"key":"CIT0017","doi-asserted-by":"crossref","unstructured":"G\u00fcnther, M., Feldmann, U. & ter Maten, J. (2005). Modelling and discretization of circuit problems. In P. G. Ciarlet (Ed.), Handbook of numerical analysis (Vol. 13, pp. 523\u2013659). Amsterdam: Elsevier.","DOI":"10.1016\/S1570-8659(04)13006-8"},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-05221-7"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/2.3.303"},{"key":"CIT0020","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2010.5717906"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.3934\/naco.2016018"},{"key":"CIT0022","unstructured":"Li, P., Liu, F., Li, X., Pileggi, L. & Nassif, S. (2005). Modeling interconnect variability using efficient parametric model order reduction. Proceedings of design automation and test in Europe conference (DATE) (pp. 958\u2013963),\u00a0Munich, Germany."},{"key":"CIT0023","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801384937"},{"key":"CIT0024","unstructured":"Lohmann, B. & Eid, R. (2009). Efficient order reduction of parametric and nonlinear models by superposition of locally reduced models. In G. Roppenecker & B. Lohmann (Eds.), Methoden und Anwendungen der Regelungstechnik. Aachen: Shaker."},{"key":"CIT0025","unstructured":"MATLAB (2018). version 9.4.0.813654 (R2018a). Natick, MA: The Mathworks Inc."},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2016.01.002"},{"key":"CIT0027","doi-asserted-by":"publisher","DOI":"10.1137\/S00361445024180"},{"key":"CIT0028","unstructured":"MOR Wiki (2019). Online document. Retrieved from https:\/\/morwiki.mpi-magdeburg.mpg.de\/morwiki"},{"key":"CIT0029","doi-asserted-by":"publisher","DOI":"10.1590\/S1678-58782006000400009"},{"key":"CIT0030","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018979826766"},{"key":"CIT0031","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.2004.839472"},{"key":"CIT0032","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2003.1272472"},{"key":"CIT0033","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2017.05.007"},{"key":"CIT0034","doi-asserted-by":"publisher","DOI":"10.3934\/naco.2019003"},{"key":"CIT0035","doi-asserted-by":"publisher","DOI":"10.1137\/17M1142223"},{"key":"CIT0036","doi-asserted-by":"crossref","unstructured":"Rudnyi, E. B. & Korvink, J. G. (2005). Boundary condition independent thermal model. In P. Benner, V. Mehrmann & D. C. Sorensen (Eds.), Dimension reduction of large-scale systems, Lecture notes in computational science and engineering\u00a0(Vol. 45, pp. 345\u2013348). Berlin: Springer.","DOI":"10.1007\/3-540-27909-1_17"},{"key":"CIT0037","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-78841-6"},{"key":"CIT0038","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2006.11.021"},{"key":"CIT0039","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-6272-8"},{"key":"CIT0040","doi-asserted-by":"publisher","DOI":"10.1137\/130912839"},{"key":"CIT0041","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-21738-3"},{"key":"CIT0042","unstructured":"Stykel, T. (2002). Analysis and numerical solution of generalized Lyapunov equations (PhD thesis). Technische Universit\u00e4t Berlin."},{"key":"CIT0043","unstructured":"Wang, Q., Zhang, Q. L., Zhang, G. S. & Liu, W. Q. (2002). Lyapunov equations with positive definite solution for descriptor systems. Proceedings of the 4th Asian control conference (ASCC) (pp. 385\u2013389). WA9-16, Singapore."},{"key":"CIT0044","doi-asserted-by":"publisher","DOI":"10.1524\/auto.2013.1007"},{"key":"CIT0045","doi-asserted-by":"publisher","DOI":"10.2307\/j.ctv7h0skv"}],"container-title":["International Journal of Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207179.2019.1670360","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,21]],"date-time":"2021-06-21T10:10:26Z","timestamp":1624270226000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00207179.2019.1670360"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,26]]},"references-count":45,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2021,7,3]]}},"alternative-id":["10.1080\/00207179.2019.1670360"],"URL":"https:\/\/doi.org\/10.1080\/00207179.2019.1670360","relation":{},"ISSN":["0020-7179","1366-5820"],"issn-type":[{"value":"0020-7179","type":"print"},{"value":"1366-5820","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,9,26]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2018-08-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-09-13","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-09-26","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}