{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,6]],"date-time":"2026-01-06T13:46:11Z","timestamp":1767707171227,"version":"3.37.3"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,11,28]],"date-time":"2021-11-28T00:00:00Z","timestamp":1638057600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,11,28]],"date-time":"2021-11-28T00:00:00Z","timestamp":1638057600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61690210","61690212"],"award-info":[{"award-number":["61690210","61690212"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1007\/s00034-021-01906-3","type":"journal-article","created":{"date-parts":[[2021,11,28]],"date-time":"2021-11-28T05:02:27Z","timestamp":1638075747000},"page":"2614-2635","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Parametric Design of Functional Interval Observer for Time-Delay Systems with Additive Disturbances"],"prefix":"10.1007","volume":"41","author":[{"given":"Da-Ke","family":"Gu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Quan-Zhi","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0212-7980","authenticated-orcid":false,"given":"Yin-Dong","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,11,28]]},"reference":[{"issue":"7","key":"1906_CR1","doi-asserted-by":"publisher","first-page":"765","DOI":"10.1016\/j.jprocont.2003.12.006","volume":"14","author":"O Bernard","year":"2004","unstructured":"O. Bernard, J.L. Gouz\u00e9, Closed loop observers bundle for uncertain biotechnological models. J. Process Contr. 14(7), 765\u2013774 (2004)","journal-title":"J. Process Contr."},{"key":"1906_CR2","first-page":"125352","volume":"383","author":"H-C Che","year":"2020","unstructured":"H.-C. Che, J. Huang, X.-D. Zhao, X. Ma, N. Xu, Functional interval observer for discrete-time systems with disturbances. Appl. Math. Comput. 383, 125352 (2020)","journal-title":"Appl. Math. Comput."},{"key":"1906_CR3","volume-title":"Generalized Sylvester Equations: Unified Parametric Solutions","author":"G-R Duan","year":"2014","unstructured":"G.-R. Duan, Generalized Sylvester Equations: Unified Parametric Solutions (CRC Press, Boca Raton, 2014)"},{"key":"1906_CR4","doi-asserted-by":"crossref","unstructured":"D. Efimov, L. Fridman, T. Ra\u00efssi, Ali Zolghadri, R. Seydou, Interval estimation for LPV systems applying high order sliding mode techniques. Automatica 48(9), 2365-2371 (2012)","DOI":"10.1016\/j.automatica.2012.06.073"},{"issue":"10","key":"1906_CR5","doi-asserted-by":"publisher","first-page":"1777","DOI":"10.1080\/00207179.2013.796526","volume":"86","author":"D Efimov","year":"2013","unstructured":"D. Efimov, W. Perruquetti, J.P. Richard, Interval estimation for uncertain systems with time-varying delays. Int. J. Control 86(10), 1777\u20131787 (2013)","journal-title":"Int. J. Control"},{"key":"1906_CR6","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1016\/j.ejcon.2015.01.004","volume":"23","author":"D Efimov","year":"2015","unstructured":"D. Efimov, A. Polyakov, J.P. Richard, Interval observer design for estimation and control of time-delay descriptor systems. Eur. J. Control 23, 26\u201335 (2015)","journal-title":"Eur. J. Control"},{"issue":"12","key":"1906_CR7","doi-asserted-by":"publisher","first-page":"5541","DOI":"10.1109\/TSP.2007.900154","volume":"55","author":"Z Gao","year":"2007","unstructured":"Z. Gao, S.-X. Ding, State and disturbance estimator for time-delay systems with application to fault estimation and signal compensation. IEEE Trans. Signal Process. 55(12), 5541\u20135551 (2007)","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"1906_CR8","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/S0304-3800(00)00279-9","volume":"133","author":"JL Gouz\u00e9","year":"2000","unstructured":"J.L. Gouz\u00e9, A. Rapaport, M.Z. Hadj-Sadok, Interval observers for uncertain biological systems. Ecol. Model. 133(1), 45\u201356 (2000)","journal-title":"Ecol. Model."},{"issue":"5","key":"1906_CR9","doi-asserted-by":"publisher","first-page":"2562","DOI":"10.1049\/iet-cta.2018.5113","volume":"12","author":"D-K Gu","year":"2018","unstructured":"D.-K. Gu, L.-W. Liu, G.-R. Duan, Functional interval observer for the linear systems with disturbances. IET Control Theory A. 12(5), 2562\u20132568 (2018)","journal-title":"IET Control Theory A."},{"issue":"11","key":"1906_CR10","doi-asserted-by":"publisher","first-page":"2551","DOI":"10.1080\/00207179.2019.1675901","volume":"93","author":"D-K Gu","year":"2020","unstructured":"D.-K. Gu, L.-W. Liu, G.-R. Duan, Design of reduced-order interval observers for LTI systems with bounded time-varying disturbances: a parametric approach. Int. J. Control 93(11), 2551\u20132563 (2020)","journal-title":"Int. J. Control"},{"key":"1906_CR11","doi-asserted-by":"publisher","DOI":"10.1177\/00202940211021110","author":"D-K Gu","year":"2021","unstructured":"D.-K. Gu, L.-S. Sun, Y.-D. Liu, Parametric design to reduced-order functional observer for linear time-varying systems. Meas. Control-UK (2021). https:\/\/doi.org\/10.1177\/00202940211021110","journal-title":"Meas. Control-UK"},{"issue":"10","key":"1906_CR12","doi-asserted-by":"publisher","first-page":"11139","DOI":"10.3934\/math.2021647","volume":"6","author":"D-K Gu","year":"2021","unstructured":"D.-K. Gu, R.-Y. Wang, Y.-D. Liu, A parametric approach of partial eigenstructure assignment for high-order linear systems via proportional plus derivative state feedback. AIMS Math. 6(10), 11139\u201311166 (2021)","journal-title":"AIMS Math."},{"key":"1906_CR13","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/j.ejcon.2020.09.002","volume":"58","author":"D-K Gu","year":"2021","unstructured":"D.-K. Gu, D.-W. Zhang, Parametric control to a type of descriptor quasi-linear high-order systems via output feedback. Eur. J. Control 58, 223\u2013231 (2021)","journal-title":"Eur. J. Control"},{"issue":"1","key":"1906_CR14","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1049\/iet-cta.2015.0285","volume":"10","author":"Z-W He","year":"2016","unstructured":"Z.-W. He, W. Xie, Control of non-linear switched systems with average dwell time: interval observer-based framework. IET Control Theory A. 10(1), 10\u201316 (2016)","journal-title":"IET Control Theory A."},{"issue":"3","key":"1906_CR15","doi-asserted-by":"publisher","first-page":"1127","DOI":"10.1002\/asjc.1984","volume":"22","author":"DC Huong","year":"2020","unstructured":"D.C. Huong, Design of functional interval observers for non-linear fractional-order systems. Asian J. Control 22(3), 1127\u20131137 (2020)","journal-title":"Asian J. Control"},{"key":"1906_CR16","doi-asserted-by":"publisher","first-page":"2000","DOI":"10.1007\/s00034-018-0951-0","volume":"38","author":"DC Huong","year":"2019","unstructured":"D.C. Huong, M.V. Thuan, On reduced-order linear functional interval observers for nonlinear uncertain time-delay systems with external unknown disturbances. Circuits Syst. Signal Process. 38, 2000\u20132022 (2019)","journal-title":"Circuits Syst. Signal Process."},{"issue":"12","key":"1906_CR17","doi-asserted-by":"publisher","first-page":"2739","DOI":"10.1109\/TCSI.2006.883876","volume":"53","author":"G Jiang","year":"2006","unstructured":"G. Jiang, W.-K. Tang, G. Chen, A state-observer-based approach for synchronization in complex dynamical networks. IEEE Trans. Circuits-I 53(12), 2739\u20132745 (2006)","journal-title":"IEEE Trans. Circuits-I"},{"issue":"5","key":"1906_CR18","doi-asserted-by":"publisher","first-page":"968","DOI":"10.1109\/9.855562","volume":"45","author":"NH Jo","year":"2000","unstructured":"N.H. Jo, J.H. Seo, A state observer for nonlinear systems and its application to ball and beam system. IEEE Trans. Automat. Contr. 45(5), 968\u2013973 (2000)","journal-title":"IEEE Trans. Automat. Contr."},{"issue":"6","key":"1906_CR19","doi-asserted-by":"publisher","first-page":"1171","DOI":"10.1109\/TIE.2011.2162217","volume":"59","author":"H Liu","year":"2012","unstructured":"H. Liu, S. Li, Speed control for PMSM servo system using predictive functional control and extended state observer. IEEE Trans. Ind. Electron. 59(6), 1171\u20131183 (2012)","journal-title":"IEEE Trans. Ind. Electron."},{"issue":"2","key":"1906_CR20","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1109\/TAC.1966.1098323","volume":"11","author":"DG Luenberger","year":"1966","unstructured":"D.G. Luenberger, Observers for multivariable systems. IEEE Trans. Automat. Contr. 11(2), 190\u2013197 (1966)","journal-title":"IEEE Trans. Automat. Contr."},{"key":"1906_CR21","doi-asserted-by":"crossref","unstructured":"D.G. Luenberger, An introduction to observers. IEEE Trans. Automat. Contr. AC-16(6), 596-602 (1971)","DOI":"10.1109\/TAC.1971.1099826"},{"key":"1906_CR22","volume-title":"Introduction to Dynamic Systems: Theory, Models, and Applications","author":"DG Luenberger","year":"1979","unstructured":"D.G. Luenberger, Introduction to Dynamic Systems: Theory, Models, and Applications (John Wiley & Sons, New York, 1979)"},{"issue":"11","key":"1906_CR23","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1016\/j.sysconle.2010.08.005","volume":"59","author":"M Moisan","year":"2010","unstructured":"M. Moisan, O. Bernard, Robust interval observers for global Lipschitz uncertain chaotic systems. Syst. Control Lett. 59(11), 687\u2013694 (2010)","journal-title":"Syst. Control Lett."},{"key":"1906_CR24","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1016\/j.automatica.2019.06.007","volume":"107","author":"F Nemati","year":"2019","unstructured":"F. Nemati, S.M.S. Hamami, A. Zemouche, A nonlinear observer-based approach to fault detection, isolation and estimation for satellite formation flight application. Automatica 107, 474\u2013482 (2019)","journal-title":"Automatica"},{"key":"1906_CR25","doi-asserted-by":"crossref","unstructured":"M. Pourasghar, V. Puig, C.O. Martinez, Q.-H. Zhang, Reduced-Order Interval-Observer Design for Dynamic Systems with Time-Invariant Uncertainty, in Proceedings of 20th Word Congress of the International Federation of Automatic Control (Toulouse, France, 2017), pp. 6271\u20136276","DOI":"10.1016\/j.ifacol.2017.08.858"},{"key":"1906_CR26","doi-asserted-by":"publisher","first-page":"518","DOI":"10.1016\/j.automatica.2009.12.005","volume":"46","author":"T Ra\u00efssi","year":"2010","unstructured":"T. Ra\u00efssi, G. Videau, A. Zolghadri, Interval observer design for consistency checks of nonlinear continuous-time systems. Automatica 46, 518\u2013527 (2010)","journal-title":"Automatica"},{"issue":"10","key":"1906_CR27","doi-asserted-by":"publisher","first-page":"2677","DOI":"10.1016\/j.automatica.2014.08.035","volume":"50","author":"REH Thabet","year":"2014","unstructured":"R.E.H. Thabet, T. Ra\u00efssi, C. Combastel, D. Efimov, A. Zolghadri, An effective method to interval observer design for time-varying systems. Automatica 50(10), 2677\u20132684 (2014)","journal-title":"Automatica"},{"issue":"5","key":"1906_CR28","first-page":"555","volume":"64","author":"H Trinh","year":"2017","unstructured":"H. Trinh, D.C. Huong, L.V. Hien, S. Nahavandi, Design of reduced-order positive linear functional observers for positive time-delay systems. IEEE Trans. Circuits-II 64(5), 555\u2013559 (2017)","journal-title":"IEEE Trans. Circuits-II"},{"key":"1906_CR29","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/j.automatica.2015.07.001","volume":"60","author":"Y Wang","year":"2015","unstructured":"Y. Wang, D.M. Bevly, R. Rajamani, Interval observer design for LPV systems with parametric uncertainty. Automatica 60, 79\u201385 (2015)","journal-title":"Automatica"},{"issue":"10","key":"1906_CR30","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/j.sysconle.2018.04.003","volume":"116","author":"Z-H Wang","year":"2018","unstructured":"Z.-H. Wang, C.C. Lim, Y. Shen, Interval observer design for uncertain discrete-time linear systems. Syst. Control Lett. 116(10), 41\u201346 (2018)","journal-title":"Syst. Control Lett."},{"issue":"7","key":"1906_CR31","doi-asserted-by":"publisher","first-page":"3630","DOI":"10.1109\/TIE.2013.2281165","volume":"61","author":"J Yao","year":"2014","unstructured":"J. Yao, Z. Jiao, D. Ma, Adaptive robust control of DC motors with extended state observer. IEEE Trans. Ind. Electron. 61(7), 3630\u20133637 (2014)","journal-title":"IEEE Trans. Ind. Electron."},{"issue":"12","key":"1906_CR32","doi-asserted-by":"publisher","first-page":"10631","DOI":"10.1109\/TIE.2019.2958303","volume":"67","author":"R-N Yang","year":"2020","unstructured":"R.-N. Yang, W.-X. Zheng, Output-based event-triggered predictive control for networked control systems. IEEE Trans. Ind. Electron. 67(12), 10631\u201310640 (2020)","journal-title":"IEEE Trans. Ind. Electron."},{"key":"1906_CR33","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2021.126585","author":"X-Q Zhao","year":"2022","unstructured":"X.-Q. Zhao, S. Guo, Y. Long, G.-X. Zhong, Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching. Appl. Math. Comput. (2022). https:\/\/doi.org\/10.1016\/j.amc.2021.126585","journal-title":"Appl. Math. Comput."},{"key":"1906_CR34","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.2587","author":"D-W Zhang","year":"2021","unstructured":"D.-W. Zhang, G.-P. Liu, Output feedback predictive control for discrete quasilinear systems with application to spacecraft flying-around. Asian J. Control (2021). https:\/\/doi.org\/10.1002\/asjc.2587","journal-title":"Asian J. Control"},{"key":"1906_CR35","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2021.10.004","author":"D-W Zhang","year":"2021","unstructured":"D.-W. Zhang, G.-P. Liu, Coordinated control of quasilinear multiagent systems via output feedback predictive control. ISA Trans. (2021). https:\/\/doi.org\/10.1016\/j.isatra.2021.10.004","journal-title":"ISA Trans."},{"key":"1906_CR36","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/j.automatica.2015.10.007","volume":"63","author":"G Zheng","year":"2016","unstructured":"G. Zheng, D. Efimov, W. Perruquetti, Design of interval observer for a class of uncertain unobservable nonlinear systems. Automatica 63, 167\u2013174 (2016)","journal-title":"Automatica"},{"issue":"8","key":"1906_CR37","doi-asserted-by":"publisher","first-page":"3714","DOI":"10.1109\/TAC.2019.2953210","volume":"65","author":"Y-Z Zhu","year":"2020","unstructured":"Y.-Z. Zhu, W.-X. Zheng, Observer-based control for cyber-physical systems with periodic DoS attacks via a cyclic switching strategy. IEEE Trans. Automat. Contr. 65(8), 3714\u20133721 (2020)","journal-title":"IEEE Trans. Automat. Contr."},{"key":"1906_CR38","doi-asserted-by":"crossref","unstructured":"Y.-Z. Zhu, W.-X. Zheng, D.-H. Zhou, Quasi-synchronization of discrete-time Lure-type switched systems with parameter mismatches and relaxed PDT constraints. IEEE Trans. Cybern. 50(5), 2026\u20132037 (2020)","DOI":"10.1109\/TCYB.2019.2930945"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01906-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-021-01906-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01906-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T15:22:18Z","timestamp":1649431338000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-021-01906-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,28]]},"references-count":38,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["1906"],"URL":"https:\/\/doi.org\/10.1007\/s00034-021-01906-3","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2021,11,28]]},"assertion":[{"value":"14 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 November 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 November 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 November 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}