{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:01:56Z","timestamp":1777910516842,"version":"3.51.4"},"reference-count":50,"publisher":"SAGE Publications","issue":"15","license":[{"start":{"date-parts":[[2019,6,21]],"date-time":"2019-06-21T00:00:00Z","timestamp":1561075200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"Ministry of Education and Training of Vietnam","award":["B2020-TNA"],"award-info":[{"award-number":["B2020-TNA"]}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2019,11]]},"abstract":"<jats:p>This paper addresses the problem of unknown input fractional-order functional state observer design for a class of fractional-order time-delay nonlinear systems. The nonlinearities consist of two parts where one part is assumed to satisfy both the one-sided Lipschitz condition and the quadratically inner-bounded condition and the other is not necessary to be Lipschitz and can be regarded as an unknown input, making the wider class of considered nonlinear systems. By taking the advantages of recent results on Caputo fractional derivative of a quadratic function, we derive new sufficient conditions with the form of linear matrix inequalities (LMIs) to guarantee the asymptotic stability of the systems. Four examples are also provided to show the effectiveness and applicability of the proposed method.<\/jats:p>","DOI":"10.1177\/0142331219856190","type":"journal-article","created":{"date-parts":[[2019,6,21]],"date-time":"2019-06-21T06:07:07Z","timestamp":1561097227000},"page":"4311-4321","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Unknown input fractional-order functional observer design for one-side Lipschitz time-delay fractional-order systems"],"prefix":"10.1177","volume":"41","author":[{"given":"Mai Viet","family":"Thuan","sequence":"first","affiliation":[{"name":"Department of Mathematics and Informatics, Thainguyen University of Science, Thai Nguyen, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2028-3784","authenticated-orcid":false,"given":"Dinh Cong","family":"Huong","sequence":"additional","affiliation":[{"name":"Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam"},{"name":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nguyen Huu","family":"Sau","sequence":"additional","affiliation":[{"name":"Faculty of Fundamental Science, Hanoi University of Industry, Hanoi, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Quan Thai","family":"Ha","sequence":"additional","affiliation":[{"name":"Center for High Performance Computing, Hanoi University of Sciences, Hanoi, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,6,21]]},"reference":[{"key":"bibr1-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2010.5530715"},{"key":"bibr2-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2016.08.010"},{"key":"bibr3-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2012.05.005"},{"key":"bibr4-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2012.02.009"},{"key":"bibr5-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2012.06.010"},{"key":"bibr6-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-006-9094-0"},{"key":"bibr7-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3648"},{"key":"bibr8-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016559314798"},{"key":"bibr9-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2014.10.008"},{"key":"bibr10-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.034101"},{"key":"bibr11-0142331219856190","volume-title":"LMI Control Toolbox for Use with MATLAB","author":"Gahinet P","year":"1995"},{"key":"bibr12-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1177\/0142331216661758"},{"key":"bibr13-0142331219856190","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2017020"},{"key":"bibr14-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1002\/acs.2852"},{"key":"bibr15-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2015.0108"},{"key":"bibr16-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2016.06.033"},{"key":"bibr17-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1049\/el.2014.1480"},{"key":"bibr18-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-20502-6"},{"key":"bibr19-0142331219856190","doi-asserted-by":"publisher","DOI":"10.2478\/bpasts-2014-0098"},{"key":"bibr20-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1515\/amcs-2017-0017"},{"key":"bibr21-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2012.02.030"},{"key":"bibr22-0142331219856190","volume-title":"Theory and Applications of Fractional Differential Equations","author":"Kilbas AA","year":"2006"},{"key":"bibr23-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2013.09.007"},{"key":"bibr24-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1230"},{"key":"bibr25-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.02.013"},{"key":"bibr26-0142331219856190","doi-asserted-by":"publisher","DOI":"10.2478\/amcs-2013-0037"},{"key":"bibr27-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1002\/acs.2699"},{"key":"bibr28-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2015.1173"},{"key":"bibr29-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3960"},{"key":"bibr30-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-18101-6"},{"key":"bibr31-0142331219856190","volume-title":"Fractional Differential Equations","author":"Podlubny I","year":"1999"},{"key":"bibr32-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2015.08.003"},{"key":"bibr33-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2013.06.013"},{"key":"bibr34-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1644"},{"key":"bibr35-0142331219856190","doi-asserted-by":"publisher","DOI":"10.2478\/v10006-012-0068-8"},{"key":"bibr36-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7906(03)00037-5"},{"key":"bibr37-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-24064-5"},{"key":"bibr38-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.884997"},{"key":"bibr39-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1109\/ICIInfS.2013.6731980"},{"key":"bibr40-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2016.2591944"},{"key":"bibr41-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1177\/0142331218757864"},{"key":"bibr42-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-014-9368-3"},{"key":"bibr43-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2214-y"},{"key":"bibr44-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2018.1463409"},{"key":"bibr45-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2016.1425"},{"key":"bibr46-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1109\/CCDC.2017.7978824"},{"key":"bibr47-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2014.10.001"},{"key":"bibr48-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.05.027"},{"key":"bibr49-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.05.003"},{"key":"bibr50-0142331219856190","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1754-x"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331219856190","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331219856190","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331219856190","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:59:32Z","timestamp":1777647572000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331219856190"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,21]]},"references-count":50,"journal-issue":{"issue":"15","published-print":{"date-parts":[[2019,11]]}},"alternative-id":["10.1177\/0142331219856190"],"URL":"https:\/\/doi.org\/10.1177\/0142331219856190","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,6,21]]}}}