{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,10]],"date-time":"2025-04-10T23:44:20Z","timestamp":1744328660399,"version":"3.37.3"},"reference-count":38,"publisher":"Elsevier BV","issue":"8","license":[{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2024,5,11]],"date-time":"2024-05-11T00:00:00Z","timestamp":1715385600000},"content-version":"am","delay-in-days":741,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["JP17K06491"],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61703296"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of the Franklin Institute"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1016\/j.jfranklin.2022.03.038","type":"journal-article","created":{"date-parts":[[2022,4,6]],"date-time":"2022-04-06T06:06:01Z","timestamp":1649225161000},"page":"3883-3909","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":7,"title":["Zonotopic interval estimation for discrete-time Takagi\u2013Sugeno fuzzy systems with a delayed nonquadratic framework"],"prefix":"10.1016","volume":"359","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5859-7802","authenticated-orcid":false,"given":"Weijie","family":"Ren","sequence":"first","affiliation":[]},{"given":"Satoshi","family":"Komada","sequence":"additional","affiliation":[]},{"given":"Kazuhiro","family":"Yubai","sequence":"additional","affiliation":[]},{"given":"Shenghui","family":"Guo","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.jfranklin.2022.03.038_bib0001","doi-asserted-by":"crossref","DOI":"10.1109\/TFUZZ.2021.3075490","article-title":"Event-based adaptive fixed-time fuzzy control for active vehicle suspension systems with time-varying displacement constraint","author":"Jia","year":"2021","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0002","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1109\/JAS.2020.1003596","article-title":"Human-in-the-loop consensus control for nonlinear multi-agent systems with actuator faults","volume":"9","author":"Lin","year":"2022","journal-title":"IEEE\/CAA J. Autom. Sin."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0003","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TSMC.1985.6313399","article-title":"Fuzzy identification of systems and its applications to modeling and control","volume":"15","author":"Takagi","year":"1985","journal-title":"IEEE Trans. Syst., Man, Cybern., SMC"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0004","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1109\/91.669023","article-title":"Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs","volume":"6","author":"Tanaka","year":"1998","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0005","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1109\/91.919253","article-title":"Parameterized linear matrix inequality techniques in fuzzy control system design","volume":"9","author":"Tuan","year":"2001","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0006","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1109\/TFUZZ.2003.814861","article-title":"A multiple Lyapunov function approach to stabilization of fuzzy control systems","volume":"11","author":"Tanaka","year":"2003","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0007","doi-asserted-by":"crossref","first-page":"1414","DOI":"10.1016\/j.conengprac.2008.04.002","article-title":"An alternative to inverse dynamics joint torques estimation in human stance based on a Takagi\u2013Sugeno unknown-inputs observer in the descriptor form","volume":"16","author":"Guelton","year":"2008","journal-title":"Control Eng. Pract."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0008","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1016\/j.isatra.2012.04.001","article-title":"Motion control of planar parallel robot using the fuzzy descriptor system approach","volume":"51","author":"Vermeiren","year":"2012","journal-title":"ISA Trans."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0009","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.automatica.2017.07.026","article-title":"Guaranteed cost fuzzy state observer design for semilinear parabolic PDE systems under pointwise measurements","volume":"85","author":"Wu","year":"2017","journal-title":"Automatica"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0010","doi-asserted-by":"crossref","first-page":"1250","DOI":"10.1109\/TAC.2018.2846594","article-title":"Asynchronous control of continuous-time nonlinear Markov jump systems subject to strict dissipativity","volume":"64","author":"Dong","year":"2019","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0011","doi-asserted-by":"crossref","first-page":"1046","DOI":"10.1109\/TFUZZ.2017.2686819","article-title":"Fault-tolerant controller design for general polynomial-fuzzy-model-based systems","volume":"26","author":"Ye","year":"2018","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0012","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1016\/j.automatica.2003.12.014","article-title":"LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi\u2013Sugeno\u2019s form","volume":"40","author":"Guerra","year":"2004","journal-title":"Automatica"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0013","series-title":"International Conference on Fuzzy Systems","first-page":"1","article-title":"Controller and observer designs for discrete TS models using an efficient Lyapunov function","author":"Kerkeni","year":"2010"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0014","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1109\/TFUZZ.2011.2165545","article-title":"An efficient Lyapunov function for discrete T-Smodels: observer design","volume":"20","author":"Guerra","year":"2012","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0015","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1109\/TCYB.2014.2327657","article-title":"Controller design for TS models using delayed nonquadratic Lyapunov functions","volume":"45","author":"Lendek","year":"2015","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0016","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1016\/j.neucom.2015.12.033","article-title":"Generalized LMI observer design for discrete-time nonlinear descriptor models","volume":"182","author":"Estrada-Manzo","year":"2016","journal-title":"Neurocomputing"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0017","doi-asserted-by":"crossref","first-page":"1833","DOI":"10.1109\/TFUZZ.2019.2892341","article-title":"Efficient LMI conditions for enhanced stabilization of discrete-time Takagi\u2013Sugeno models via delayed nonquadratic Lyapunovfunctions","volume":"27","author":"Coutinho","year":"2019","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0018","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2020.109452","article-title":"Generalized set-theoretic interval observer using element-wise nonnegativity transformation","volume":"125","author":"Xu","year":"2021","journal-title":"Automatica"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0019","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.automatica.2010.10.019","article-title":"Interval observers for linear time-invariant systems with disturbances","volume":"47","author":"Mazenc","year":"2011","journal-title":"Automatica"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0020","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.sysconle.2018.04.003","article-title":"Interval observer design for uncertain discrete-time linear systems","volume":"116","author":"Wang","year":"2018","journal-title":"Syst. Control Lett."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0021","doi-asserted-by":"crossref","first-page":"4717","DOI":"10.1109\/TAC.2019.2902673","article-title":"Interval estimation methods for discrete-time linear time-invariant systems","volume":"64","author":"Tang","year":"2019","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0022","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/j.automatica.2015.03.008","article-title":"Zonotopes and Kalman observers: gain optimality under distinct uncertainty paradigms and robust convergence","volume":"55","author":"Combastel","year":"2015","journal-title":"Automatica"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0023","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1109\/TAC.2011.2164820","article-title":"Interval state estimation for a class of nonlinear systems","volume":"57","author":"Raissi","year":"2012","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0024","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1016\/j.automatica.2019.108794","article-title":"Interval observer of minimal error dynamics","volume":"113","author":"Ito","year":"2020","journal-title":"Automatica"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0025","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1109\/TAC.2013.2241476","article-title":"Control of nonlinear and LPV systems: interval observer-based framework","volume":"58","author":"Efimov","year":"2013","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0026","doi-asserted-by":"crossref","first-page":"3426","DOI":"10.1002\/rnc.4567","article-title":"Zonotopic fault detection observer for linear parameter-varying descriptor systems","volume":"29","author":"Li","year":"2019","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0027","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.conengprac.2016.09.004","article-title":"Reduced-order hybrid interval observer for verified state estimation of an induction machine","volume":"57","author":"Krebs","year":"2016","journal-title":"Control Eng. Pract."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0028","doi-asserted-by":"crossref","first-page":"5753","DOI":"10.1016\/j.jfranklin.2020.03.008","article-title":"Interval observer-based event-triggered control for switched linear systems","volume":"357","author":"Wang","year":"2020","journal-title":"J. Frankl. Institute-Engineering Appl. Math."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0029","doi-asserted-by":"crossref","first-page":"816","DOI":"10.1109\/TFUZZ.2019.2898161","article-title":"Interval observer design for discrete-time uncertain Takagi\u2013Sugeno fuzzy systems","volume":"27","author":"Li","year":"2019","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0030","article-title":"Reachability analysis-based interval estimation for discrete-time Takagi\u2013Sugeno fuzzy systems","author":"Guo","year":"2021","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0031","doi-asserted-by":"crossref","first-page":"3216","DOI":"10.1080\/00207721.2018.1535101","article-title":"Zonotopic fault detection observer design for Takagi\u2013Sugeno fuzzy systems","volume":"49","author":"Li","year":"2018","journal-title":"Int. J. Syst. Sci."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0032","article-title":"Interval-observer-based fault detection and isolation design for T-S fuzzy system based on zonotope analysis","author":"Zhu","year":"2021","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0033","doi-asserted-by":"crossref","first-page":"2296","DOI":"10.1109\/TFUZZ.2020.2997333","article-title":"Optimal interval observer for switched Takagi\u2013Sugeno systems: an application to interval fault estimation","volume":"29","author":"Garbouj","year":"2021","journal-title":"IEEE Trans. Fuzzy Syst."},{"year":"1994","series-title":"Linear matrix Inequalities in System and Control Theory","author":"Boyd","key":"10.1016\/j.jfranklin.2022.03.038_bib0034"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0035","doi-asserted-by":"crossref","first-page":"2308","DOI":"10.1177\/0142331220909996","article-title":"Robust fault tolerant control based on adaptive observer for Takagi\u2013Sugeno fuzzy systems with sensor and actuator faults: application to single-link manipulator","volume":"42","author":"Makni","year":"2020","journal-title":"Trans. Inst. Meas. Control"},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0036","doi-asserted-by":"crossref","first-page":"2398","DOI":"10.1109\/TCYB.2018.2821119","article-title":"Finite\/fixed-time pinning synchronization of complex networks with stochastic disturbances","volume":"49","author":"Liu","year":"2019","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0037","doi-asserted-by":"crossref","first-page":"1771","DOI":"10.1109\/TCYB.2018.2882519","article-title":"Prespecified-time cluster synchronization of complex networks via a smooth control approach","volume":"50","author":"Liu","year":"2020","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.jfranklin.2022.03.038_bib0038","doi-asserted-by":"crossref","first-page":"1999","DOI":"10.1109\/TSMC.2018.2790975","article-title":"Interval observers design for polynomial fuzzy singular systems by utilizing sum-of-squares program","volume":"50","author":"Pang","year":"2020","journal-title":"IEEE Trans. Syst., Man, Cybern."}],"container-title":["Journal of the Franklin Institute"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003222002071?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003222002071?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2022,5,14]],"date-time":"2022-05-14T22:50:08Z","timestamp":1652568608000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0016003222002071"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5]]},"references-count":38,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["S0016003222002071"],"URL":"https:\/\/doi.org\/10.1016\/j.jfranklin.2022.03.038","relation":{},"ISSN":["0016-0032"],"issn-type":[{"type":"print","value":"0016-0032"}],"subject":[],"published":{"date-parts":[[2022,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Zonotopic interval estimation for discrete-time Takagi\u2013Sugeno fuzzy systems with a delayed nonquadratic framework","name":"articletitle","label":"Article Title"},{"value":"Journal of the Franklin Institute","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jfranklin.2022.03.038","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}]}}