{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T21:45:22Z","timestamp":1772228722067,"version":"3.50.1"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2018,1,10]],"date-time":"2018-01-10T00:00:00Z","timestamp":1515542400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51505273"],"award-info":[{"award-number":["51505273"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011381","name":"State Key Laboratory of Robotics and System (HIT)","doi-asserted-by":"crossref","award":["SKLRS-2014-MS-10"],"award-info":[{"award-number":["SKLRS-2014-MS-10"]}],"id":[{"id":"10.13039\/501100011381","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Jiangsu Provincial Key Laboratory of Advanced Robotics Fund Projects","award":["AR201401"],"award-info":[{"award-number":["AR201401"]}]},{"name":"Fund of MOE Key Laboratory of Image Processing and Intelligence Control","award":["IPIC2015-02"],"award-info":[{"award-number":["IPIC2015-02"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2018,9]]},"DOI":"10.1007\/s00034-018-0745-4","type":"journal-article","created":{"date-parts":[[2018,1,10]],"date-time":"2018-01-10T08:25:20Z","timestamp":1515572720000},"page":"3725-3738","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Exponential Reduced-Order Observers for Nonlinear Systems Satisfying Incremental Quadratic Constraints"],"prefix":"10.1007","volume":"37","author":[{"given":"Younan","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1400-8612","authenticated-orcid":false,"given":"Wei","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wuyang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fang","family":"Song","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,1,10]]},"reference":[{"key":"745_CR1","doi-asserted-by":"crossref","unstructured":"M. Abbaszadeh, H.J. Marquez, Nonlinear observer design for one-sided Lipschitz systems, in Proceedings of the 2010 American Control Conference , pp. 5284\u20135289 (2010)","DOI":"10.1109\/ACC.2010.5530715"},{"issue":"1","key":"745_CR2","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.sysconle.2007.06.018","volume":"57","author":"B A\u00e7\u0131kme\u015fe","year":"2008","unstructured":"B. A\u00e7\u0131kme\u015fe, M. Corless, Stability analysis with quadratic Lyapunov functions: some necessary and sufficient multiplier conditions. Syst. Control Lett. 57(1), 78\u201394 (2008)","journal-title":"Syst. Control Lett."},{"issue":"7","key":"745_CR3","doi-asserted-by":"crossref","first-page":"1339","DOI":"10.1016\/j.automatica.2011.02.017","volume":"47","author":"B A\u00e7\u0131kme\u015fe","year":"2011","unstructured":"B. A\u00e7\u0131kme\u015fe, M. Corless, Observers for systems with nonlinearities satisfying incremental quadratic constraints. Automatica 47(7), 1339\u20131348 (2011)","journal-title":"Automatica"},{"key":"745_CR4","volume-title":"Circle-Criterion Observers and Their Feedback Applications: An Overview","author":"M Arcak","year":"2006","unstructured":"M. Arcak, Circle-Criterion Observers and Their Feedback Applications: An Overview (Birkh\u00e4user Boston, Boston, 2006)"},{"issue":"7","key":"745_CR5","doi-asserted-by":"crossref","first-page":"1146","DOI":"10.1109\/9.935073","volume":"46","author":"M Arcak","year":"2001","unstructured":"M. Arcak, P. Kokotovi\u0107, Observer-based control of systems with slope-restricted nonlinearities. IEEE Trans. Autom. Control 46(7), 1146\u20131150 (2001)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"12","key":"745_CR6","doi-asserted-by":"crossref","first-page":"1923","DOI":"10.1016\/S0005-1098(01)00160-1","volume":"37","author":"M Arcak","year":"2001","unstructured":"M. Arcak, P. Kokotovi\u0107, Nonlinear observers: a circle criterion design and robustness analysis. Automatica 37(12), 1923\u20131930 (2001)","journal-title":"Automatica"},{"key":"745_CR7","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1002\/acs.2780","volume":"31","author":"L Bai","year":"2017","unstructured":"L. Bai, Q. Zhou, L. Wang, Z. Yu, H. Li, Observer-based adaptive control for stochastic nonstrict-feedback systems with unknown backlash-like hysteresis. Int. J. Adapt. Control Signal Process. 31, 1481\u20131490 (2017)","journal-title":"Int. J. Adapt. Control Signal Process."},{"issue":"3","key":"745_CR8","first-page":"406","volume":"34","author":"A Ben-Israel","year":"2003","unstructured":"A. Ben-Israel, T.N.E. Greville, Generalized inverses. CMS Books Math. 34(3), 406\u2013413 (2003)","journal-title":"CMS Books Math."},{"issue":"3","key":"745_CR9","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1109\/TAC.2014.2329211","volume":"60","author":"TN Dinh","year":"2015","unstructured":"T.N. Dinh, V. Andrieu, M. Nadri, U. Serres, Continuous-discrete time observer design for Lipschitz systems with sampled measurements. IEEE Trans. Autom. Control 60(3), 787\u2013792 (2015)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"4","key":"745_CR10","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/S0167-6911(03)00170-1","volume":"50","author":"X Fan","year":"2003","unstructured":"X. Fan, M. Arcak, Observer design for systems with multivariable monotone nonlinearities. Syst. Control Lett. 50(4), 319\u2013330 (2003)","journal-title":"Syst. Control Lett."},{"key":"745_CR11","volume-title":"Noninear Systems","author":"HK Khalil","year":"1996","unstructured":"H.K. Khalil, Noninear Systems (Prentice-Hall, Upper Saddle River, 1996)"},{"issue":"2","key":"745_CR12","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1137\/0323016","volume":"23","author":"AJ Krener","year":"1985","unstructured":"A.J. Krener, W. Respondek, Nonlinear observers with linearizable error dynamics. SIAM J. Control Optim. 23(2), 197\u2013216 (1985)","journal-title":"SIAM J. Control Optim."},{"issue":"9","key":"745_CR13","doi-asserted-by":"crossref","first-page":"2745","DOI":"10.1109\/TAC.2015.2503566","volume":"61","author":"H Li","year":"2016","unstructured":"H. Li, Y. Gao, P. Shi, H.K. Lam, Observer-based fault detection for nonlinear systems with sensor fault and limited communication capacity. IEEE Trans. Autom. Control 61(9), 2745\u20132751 (2016)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"11","key":"745_CR14","doi-asserted-by":"crossref","first-page":"4365","DOI":"10.1007\/s00034-017-0536-3","volume":"36","author":"Z Liu","year":"2017","unstructured":"Z. Liu, L. Zhao, H. Xiao, C. Gao, Adaptive $$H_{\\infty }$$H\u221e integral sliding mode control for uncertain singular time-delay systems based on observer. Circuits Syst. Signal Process. 36(11), 4365\u20134387 (2017)","journal-title":"Circuits Syst. Signal Process."},{"key":"745_CR15","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.automatica.2016.09.027","volume":"75","author":"L Magnis","year":"2017","unstructured":"L. Magnis, N. Petit, Angular velocity nonlinear observer from vector measurements. Automatica 75, 46\u201353 (2017)","journal-title":"Automatica"},{"key":"745_CR16","doi-asserted-by":"crossref","unstructured":"G. Phanomchoeng, R. Rajamani, Observer design for Lipschitz nonlinear systems using Riccati equations, in Proceedings of the 2010 American Control Conference pp. 6060\u20136065 (2010)","DOI":"10.1109\/ACC.2010.5531294"},{"issue":"6","key":"745_CR17","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1007\/s00034-011-9320-y","volume":"30","author":"M Pourgholi","year":"2011","unstructured":"M. Pourgholi, V.J. Majd, A nonlinear adaptive resilient observer design for a class of Lipschitz systems using LMI. Circuits Syst. Signal Process. 30(6), 1401\u20131415 (2011)","journal-title":"Circuits Syst. Signal Process."},{"key":"745_CR18","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/j.automatica.2016.07.033","volume":"74","author":"DM Raimondo","year":"2016","unstructured":"D.M. Raimondo, G. Roberto Marseglia, R.D. Braatz, J.K. Scott, Closed-loop input design for guaranteed fault diagnosis using set-valued observers. Automatica 74, 107\u2013117 (2016)","journal-title":"Automatica"},{"issue":"3","key":"745_CR19","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1109\/9.661604","volume":"43","author":"R Rajamani","year":"1998","unstructured":"R. Rajamani, Observers for Lipschitz nonlinear systems. IEEE Trans. Autom. Control 43(3), 397\u2013401 (1998)","journal-title":"IEEE Trans. Autom. Control"},{"key":"745_CR20","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.automatica.2016.07.031","volume":"74","author":"A Selivanov","year":"2016","unstructured":"A. Selivanov, E. Fridman, Observer-based input-to-state stabilization of networked control systems with large uncertain delays. Automatica 74, 63\u201370 (2016)","journal-title":"Automatica"},{"issue":"10","key":"745_CR21","doi-asserted-by":"crossref","first-page":"2446","DOI":"10.1109\/TNNLS.2017.2728061","volume":"28","author":"H Su","year":"2017","unstructured":"H. Su, H. Wu, X. Chen, Observer-based discrete-time nonnegative edge synchronization of networked systems. IEEE Trans. Neural Networks Learn. Syst. 28(10), 2446\u20132455 (2017)","journal-title":"IEEE Trans. Neural Networks Learn. Syst."},{"key":"745_CR22","doi-asserted-by":"publisher","unstructured":"H. Su, H. Wu, X. Chen, M.Z.Q. Chen, Positive edge consensus of complex networks. IEEE Trans. Syst. Man Cybern. Syst. (2017). https:\/\/doi.org\/10.1109\/TSMC.2017.2765678","DOI":"10.1109\/TSMC.2017.2765678"},{"issue":"3","key":"745_CR23","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1080\/00207177308932395","volume":"17","author":"FE Thau","year":"1973","unstructured":"F.E. Thau, Observing the state of non-linear dynamic systems. Int. J. Control 17(3), 471\u2013479 (1973)","journal-title":"Int. J. Control"},{"key":"745_CR24","doi-asserted-by":"publisher","unstructured":"L. Wang, M. Basin, H. Li, R. Lu, Observer-based composite adaptive fuzzy control for nonstrict-feedback systems with actuator failures. IEEE Trans. Fuzzy Syst. (2017). https:\/\/doi.org\/10.1109\/TFUZZ.2017.2774185","DOI":"10.1109\/TFUZZ.2017.2774185"},{"issue":"4","key":"745_CR25","doi-asserted-by":"crossref","first-page":"1940","DOI":"10.1109\/TAC.2016.2587385","volume":"62","author":"Y Wang","year":"2017","unstructured":"Y. Wang, R. Rajamani, D.M. Bevly, Observer design for parameter varying differentiable nonlinear systems, with application to slip angle estimation. IEEE Trans. Autom. Control 62(4), 1940\u20131945 (2017)","journal-title":"IEEE Trans. Autom. Control"},{"key":"745_CR26","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/j.automatica.2016.10.020","volume":"76","author":"Y Wu","year":"2017","unstructured":"Y. Wu, R. Lu, P. Shi, H. Su, Z. Wu, Adaptive output synchronization of heterogeneous network with an uncertain leader. Automatica 76, 183\u2013192 (2017)","journal-title":"Automatica"},{"key":"745_CR27","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.automatica.2016.09.040","volume":"75","author":"Y Wu","year":"2017","unstructured":"Y. Wu, X. Meng, L. Xie, R. Lu, H. Su, Z. Wu, An input-based triggering approach to leader-following problems. Automatica 75, 221\u2013228 (2017)","journal-title":"Automatica"},{"issue":"1","key":"745_CR28","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1137\/0327011","volume":"27","author":"X Xia","year":"1989","unstructured":"X. Xia, W. Gao, Nonlinear observer design by observer error linearization. SIAM J. Control Optim. 27(1), 199\u2013216 (1989)","journal-title":"SIAM J. Control Optim."},{"issue":"12","key":"745_CR29","doi-asserted-by":"crossref","first-page":"4968","DOI":"10.1016\/j.cnsns.2012.05.027","volume":"17","author":"W Zhang","year":"2012","unstructured":"W. Zhang, H. Su, H. Wang, Z. Han, Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations. Commun. Nonlinear Sci. Numer. Simul. 17(12), 4968\u20134977 (2012)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"2","key":"745_CR30","doi-asserted-by":"crossref","first-page":"1469","DOI":"10.1007\/s11071-014-1754-x","volume":"79","author":"W Zhang","year":"2015","unstructured":"W. Zhang, H. Su, F. Zhu, G.M. Azar, Unknown input observer design for one-sided Lipschitz nonlinear systems. Nonlinear Dyn. 79(2), 1469\u20131479 (2015)","journal-title":"Nonlinear Dyn."},{"issue":"18","key":"745_CR31","doi-asserted-by":"crossref","first-page":"3958","DOI":"10.1002\/rnc.3543","volume":"26","author":"W Zhang","year":"2016","unstructured":"W. Zhang, H. Su, F. Zhu, S.P. Bhattacharyya, Improved exponential observer design for one-sided Lipschitz nonlinear systems. Int. J. Robust Nonlinear Control 26(18), 3958\u20133973 (2016)","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"6","key":"745_CR32","doi-asserted-by":"crossref","first-page":"2867","DOI":"10.1007\/s00034-013-9617-0","volume":"32","author":"W Zhang","year":"2013","unstructured":"W. Zhang, H. Su, F. Zhu, M. Wang, Observer-based $$H_{\\infty }$$H\u221e synchronization and unknown input recovery for a class of digital nonlinear systems. Circuits Syst. Signal Process. 32(6), 2867\u20132881 (2013)","journal-title":"Circuits Syst. Signal Process."},{"key":"745_CR33","doi-asserted-by":"publisher","unstructured":"Q. Zhou, H. Li, L. Wang, R. Lu, Prescribed performance observer-based adaptive fuzzy control for nonstrict-feedback stochastic nonlinear systems. IEEE Trans. Syst. Man Cybern. Syst. (2017). https:\/\/doi.org\/10.1109\/TSMC.2017.2738155","DOI":"10.1109\/TSMC.2017.2738155"},{"key":"745_CR34","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.fss.2016.11.005","volume":"329","author":"Q Zhou","year":"2017","unstructured":"Q. Zhou, L. Wang, C. Wu, H. Li, Adaptive fuzzy tracking control for a class of pure-feedback nonlinear systems with time-varying delay and unknown dead zone. Fuzzy Sets Syst. 329, 36\u201360 (2017)","journal-title":"Fuzzy Sets Syst."},{"key":"745_CR35","first-page":"72","volume":"286","author":"Q Zhou","year":"2016","unstructured":"Q. Zhou, D. Yao, J. Wang, C. Wu, Robust control of uncertain semi-Markovian jump systems using sliding mode control method. Appl. Math. Comput. 286, 72\u201387 (2016)","journal-title":"Appl. Math. Comput."},{"issue":"10","key":"745_CR36","doi-asserted-by":"crossref","first-page":"1751","DOI":"10.1109\/TAC.2002.803552","volume":"47","author":"F Zhu","year":"2002","unstructured":"F. Zhu, Z. Han, A note on observers for Lipschitz nonlinear systems. IEEE Trans. Autom. Control 47(10), 1751\u20131754 (2002)","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-018-0745-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0745-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0745-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,18]],"date-time":"2020-05-18T21:05:24Z","timestamp":1589835924000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-018-0745-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1,10]]},"references-count":36,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2018,9]]}},"alternative-id":["745"],"URL":"https:\/\/doi.org\/10.1007\/s00034-018-0745-4","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1,10]]}}}