{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T16:09:33Z","timestamp":1773677373525,"version":"3.50.1"},"reference-count":40,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T00:00:00Z","timestamp":1718928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12201488"],"award-info":[{"award-number":["12201488"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12271426"],"award-info":[{"award-number":["12271426"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Aviation Science Foundation Project","award":["ASFC-20200014070002"],"award-info":[{"award-number":["ASFC-20200014070002"]}]},{"name":"Aviation Science Foundation Project","award":["ASFC-20200014070002"],"award-info":[{"award-number":["ASFC-20200014070002"]}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2022T150521"],"award-info":[{"award-number":["2022T150521"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shaanxi Fundamental Science Research Project for Mathematics and Physics","award":["23JSQ027"],"award-info":[{"award-number":["23JSQ027"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,9,23]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, based on the partition technique, we use Meixner and Krawtchouk polynomials to present an input-independent model order reduction method. Our main contributions are twofold. First, the explicit difference relations of Meixner polynomials and Krawtchouk polynomials are expressed in an unified form. The parallel computation is carried out on the partitioned subsystems using the Krylov subspaces by which one can generate reduced systems independent of the expansion coefficients of input and can save the computation time. Second, a parallel adaptive enrichment strategy is used to choose the reduced order of reduced systems. Theoretical analysis shows that the proposed method characterizes the property of invariable coefficients. Finally, two numerical examples demonstrate that the proposed method achieves good reduction results in terms of accuracy and reduced CPU time.<\/jats:p>","DOI":"10.1093\/imamci\/dnae018","type":"journal-article","created":{"date-parts":[[2024,6,20]],"date-time":"2024-06-20T20:01:34Z","timestamp":1718913694000},"page":"438-457","source":"Crossref","is-referenced-by-count":1,"title":["Model order reduction in parallel of discrete-time linear systems based on Meixner and Krawtchouk polynomials"],"prefix":"10.1093","volume":"41","author":[{"given":"Kang-Li","family":"Xu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics , Xi\u2019an Jiaotong University, 710049 Xi\u2019an , P R China"}]},{"given":"Zhen","family":"Li","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology , Xi\u2019an University of Science and Technology, 710054 Xi\u2019an , P R China"}]},{"given":"Yao-Lin","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics , Xi\u2019an Jiaotong University, 710049 Xi\u2019an , P R China"}]},{"given":"Li","family":"Li","sequence":"additional","affiliation":[{"name":"AVIC Aeronautical Laboratory of Computational Fluid Dynamics , Xi\u2019an Aeronautics Computing Technique Research Institute, Xi\u2019an 710068 , P R China"}]}],"member":"286","published-online":{"date-parts":[[2024,6,21]]},"reference":[{"key":"2024092312114669000_ref1","first-page":"2868","article-title":"Model order reduction for discrete-time LTI systems using the alignment distance","author":"Afsari","year":"2015","journal-title":"Proceedings of the American Control Conference"},{"key":"2024092312114669000_ref2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-58786-8","volume-title":"Model Reduction of Parametrized Systems","author":"Benner","year":"2017"},{"key":"2024092312114669000_ref3","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1137\/110836742","article-title":"Interpolation-based H$_2$ model reduction of bilinear control systems","volume":"33","author":"Benner","year":"2012","journal-title":"SIAM J. 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