{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,17]],"date-time":"2025-09-17T15:46:32Z","timestamp":1758123992900,"version":"3.37.3"},"reference-count":42,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T00:00:00Z","timestamp":1581465600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61503091","G023016003"],"award-info":[{"award-number":["61503091","G023016003"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Science Foundation of Heilongjiang Province of China","award":["61503091","G023016003"],"award-info":[{"award-number":["61503091","G023016003"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,2,12]]},"abstract":"<jats:p>This paper investigates the problem of full-order and reduced-order fault detection filter (FDF) design under unified linear matrix inequality (LMI) conditions for a class of continuous-time singular Markovian jump systems (CTSMJSs) with time-varying delays and polytopic uncertain transition rates. By constructing a new Lyapunov function, sufficient conditions are firstly provided for the singular model error augmented system such that the system is stochastically admissible with an <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mi>H<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>\u221e<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math> performance level <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>\u03b3<\/mml:mi><\/mml:math>. And then, by applying a novel convex polyhedron technique to decoupled linear matrix inequalities, the full-order and reduced-order fault detection filter parameters can be obtained within a convex optimization frame. The reduced-order fault detection filter (FDF) can not only meet the fault detection accuracy requirements of complex systems but also improve the fault detection efficiency. Finally, a DC motor and an illustrative simulation example are given to verify the feasibility and effectiveness of the proposed algorithms.<\/jats:p>","DOI":"10.1155\/2020\/3736467","type":"journal-article","created":{"date-parts":[[2020,2,12]],"date-time":"2020-02-12T18:32:59Z","timestamp":1581532379000},"page":"1-23","source":"Crossref","is-referenced-by-count":3,"title":["Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8999-2039","authenticated-orcid":true,"given":"Yunling","family":"Shi","sequence":"first","affiliation":[{"name":"College of Automation, Harbin Engineering University, Harbin 150001, China"},{"name":"Department of Electrical and Information Engineering, Heilongjiang University of Technology, Jixi, Heilongjiang 158100, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7277-0480","authenticated-orcid":true,"given":"Xiuyan","family":"Peng","sequence":"additional","affiliation":[{"name":"College of Automation, Harbin Engineering University, Harbin 150001, China"}]}],"member":"311","reference":[{"issue":"6","key":"1","first-page":"2488","volume":"29","year":"2017","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2016.06.031"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2013.837545"},{"issue":"2","key":"4","first-page":"503","volume":"61","year":"2016","journal-title":"IEEE Transactions on Automatic Control"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/tcsi.2016.2605685"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2014.2375957"},{"issue":"7","key":"7","first-page":"913","volume":"65","year":"2017","journal-title":"IEEE Transactions on Circuits and Systems II: Express Briefs"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/tcsi.2018.2876937"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/tsp.2011.2141666"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2014.998751"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1163"},{"key":"13","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1016\/j.ins.2014.11.025","volume":"297","year":"2015","journal-title":"Elsevier Science Inc"},{"issue":"1","key":"14","first-page":"166","volume":"31","year":"2018","journal-title":"Nonlinear Analysis Hybrid Systems"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2017.2691311"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2017.2687048"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2017.07.035"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.07.052"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.591"},{"issue":"1","key":"20","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.jfranklin.2014.10.022","volume":"352","year":"2015","journal-title":"Journal of the Franklin Institute"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.11.007"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.03.032"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2018.2819654"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-018-04746-0"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2014.2313756"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.01.002"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1052"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1080\/00207170701684823"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1109\/tcst.2009.2026285"},{"issue":"6","key":"30","first-page":"1808","volume":"25","year":"2016","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-017-0547-0"},{"year":"1989","key":"32"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2016.11.035"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2016.04.013"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2018.08.008"},{"key":"36","first-page":"1","volume":"35","year":"2020","journal-title":"Nonlinear Analysis: Hybrid Systems"},{"key":"37","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-019-03884-w"},{"key":"38","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2914922"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1109\/tcsi.2011.2106090"},{"issue":"4","key":"40","first-page":"1291","volume":"10","year":"2014","journal-title":"International Journal of Innovative Computing, Information and Control"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2018.11.001"},{"key":"42","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2017.2759900"},{"volume":"10","journal-title":"IEEE Transactions on Fuzzy Systems","year":"2019","key":"43"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/3736467.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/3736467.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/3736467.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,24]],"date-time":"2020-02-24T18:32:41Z","timestamp":1582569161000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/3736467\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,12]]},"references-count":42,"alternative-id":["3736467","3736467"],"URL":"https:\/\/doi.org\/10.1155\/2020\/3736467","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,2,12]]}}}