{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T10:03:42Z","timestamp":1769162622337,"version":"3.49.0"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T00:00:00Z","timestamp":1630454400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T00:00:00Z","timestamp":1630454400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2022,2]]},"DOI":"10.1007\/s00034-021-01810-w","type":"journal-article","created":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T08:05:11Z","timestamp":1630483511000},"page":"684-699","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear Perturbations"],"prefix":"10.1007","volume":"41","author":[{"given":"Majid","family":"Shahbazzadeh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3964-7648","authenticated-orcid":false,"given":"Seyed Jalil","family":"Sadati","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,9,1]]},"reference":[{"key":"1810_CR1","unstructured":"M. ApS, The MOSEK optimization toolbox for MATLAB manual. Version 9.0. (2019). http:\/\/docs.mosek.com\/9.0\/toolbox\/index.html"},{"key":"1810_CR2","doi-asserted-by":"crossref","unstructured":"T. Binazadeh, H. Gholami, Finite-time robust passive control of uncertain discrete time-delay systems using output feedback: application on chua\u2019s circuit. Circuits, Systems, and Signal Processing pp. 1\u201327 (2019)","DOI":"10.1007\/s00034-019-01275-y"},{"issue":"2","key":"1810_CR3","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1504\/IJSCC.2020.106576","volume":"11","author":"M Charqi","year":"2020","unstructured":"M. Charqi, N. Chaibi, M. Ouahi, E.H. Tissir, Delay-dependent admissibility and control of discrete-time switched singular systems with time-delay. Int. J. Syst. Control Commun. 11(2), 178\u2013199 (2020)","journal-title":"Int. J. Syst. Control Commun."},{"issue":"1","key":"1810_CR4","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1002\/asjc.1540","volume":"20","author":"F Chen","year":"2018","unstructured":"F. Chen, S. Kang, S. Qiao, C. Guo, Exponential stability and stabilization for quadratic discrete-time systems with time delay. Asian J. Control 20(1), 276\u2013285 (2018)","journal-title":"Asian J. Control"},{"issue":"4","key":"1810_CR5","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/s00034-008-9037-8","volume":"27","author":"Y Chen","year":"2008","unstructured":"Y. Chen, A. Xue, S. Zhou, R. Lu, Delay-dependent robust control for uncertain stochastic time-delay systems. Circuits Syst. Signal Process. 27(4), 447\u2013460 (2008)","journal-title":"Circuits Syst. Signal Process."},{"key":"1810_CR6","doi-asserted-by":"crossref","unstructured":"D. Cong Huong, V. Thanh Huynh, H. Trinh, Interval functional observers for time-delay systems with additive disturbances. Int. J. Adapt. Control Signal Process. 34(9): 1281\u20131293 (2020)","DOI":"10.1002\/acs.3149"},{"issue":"1","key":"1810_CR7","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1134\/S1064230717010063","volume":"56","author":"O Druzhinina","year":"2017","unstructured":"O. Druzhinina, N. Sedova, Analysis of stability and stabilization of cascade systems with time delay in terms of linear matrix inequalities. J. Comput. Syst. Sci. Int. 56(1), 19\u201332 (2017)","journal-title":"J. Comput. Syst. Sci. Int."},{"issue":"14","key":"1810_CR8","doi-asserted-by":"publisher","first-page":"2957","DOI":"10.1080\/00207721.2018.1529255","volume":"49","author":"A Ech-charqy","year":"2018","unstructured":"A. Ech-charqy, M. Ouahi, E.H. Tissir, Delay-dependent robust stability criteria for singular time-delay systems by delay-partitioning approach. Int. J. Syst. Sci. 49(14), 2957\u20132967 (2018)","journal-title":"Int. J. Syst. Sci."},{"issue":"8\u20139","key":"1810_CR9","doi-asserted-by":"publisher","first-page":"1201","DOI":"10.1016\/S0898-1221(04)90114-9","volume":"47","author":"QL Han","year":"2004","unstructured":"Q.L. Han, Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations. Comput. Math. Appl. 47(8\u20139), 1201\u20131209 (2004)","journal-title":"Comput. Math. Appl."},{"issue":"9","key":"1810_CR10","doi-asserted-by":"publisher","first-page":"3723","DOI":"10.1109\/TIE.2009.2025713","volume":"56","author":"C Hua","year":"2009","unstructured":"C. Hua, P.X. Liu, X. Guan, Backstepping control for nonlinear systems with time delays and applications to chemical reactor systems. IEEE Trans. Industr. Electron. 56(9), 3723\u20133732 (2009)","journal-title":"IEEE Trans. Industr. Electron."},{"key":"1810_CR11","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.cam.2014.11.060","volume":"281","author":"JJ Hui","year":"2015","unstructured":"J.J. Hui, X.Y. Kong, H.X. Zhang, X. Zhou, Delay-partitioning approach for systems with interval time-varying delay and nonlinear perturbations. J. Comput. Appl. Math. 281, 74\u201381 (2015)","journal-title":"J. Comput. Appl. Math."},{"issue":"12","key":"1810_CR12","doi-asserted-by":"publisher","first-page":"5101","DOI":"10.1109\/TCSI.2020.3001402","volume":"67","author":"DC Huong","year":"2020","unstructured":"D.C. Huong, V.T. Huynh, H. Trinh, Interval functional observers design for time-delay systems under stealthy attacks. IEEE Trans. Circuits Syst. I Regul. Pap. 67(12), 5101\u20135112 (2020)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"5","key":"1810_CR13","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(5), 2000\u20132022 (2019)","journal-title":"Circuits Syst. Signal Process."},{"key":"1810_CR14","doi-asserted-by":"crossref","unstructured":"D.C. Huong, H. Trinh et al., Distributed functional interval observers for nonlinear interconnected systems with time-delays and additive disturbances. IEEE Syst. J. (2020)","DOI":"10.1109\/JSYST.2020.2992726"},{"issue":"10","key":"1810_CR15","doi-asserted-by":"publisher","first-page":"5020","DOI":"10.1007\/s00034-020-01399-6","volume":"39","author":"DC Huong","year":"2020","unstructured":"D.C. Huong, H. Trinh et al., On static and dynamic triggered mechanisms for event-triggered control of uncertain systems. Circuits Syst. Signal Process. 39(10), 5020\u20135038 (2020)","journal-title":"Circuits Syst. Signal Process."},{"issue":"4","key":"1810_CR16","doi-asserted-by":"publisher","first-page":"1542","DOI":"10.1007\/s00034-017-0624-4","volume":"37","author":"D Kharrat","year":"2018","unstructured":"D. Kharrat, H. Gassara, A. El Hajjaji, M. Chaabane, Adaptive fuzzy observer-based fault-tolerant control for Takagi-Sugeno descriptor nonlinear systems with time delay. Circuits Syst. Signal Process. 37(4), 1542\u20131561 (2018)","journal-title":"Circuits Syst. Signal Process."},{"issue":"4","key":"1810_CR17","doi-asserted-by":"publisher","first-page":"1949","DOI":"10.1007\/s00034-012-9543-6","volume":"32","author":"OM Kwon","year":"2013","unstructured":"O.M. Kwon, M.J. Park, J.H. Park, S.M. Lee, E.J. Cha, Improved delay-dependent stability criteria for discrete-time systems with time-varying delays. Circuits Syst. Signal Process. 32(4), 1949\u20131962 (2013)","journal-title":"Circuits Syst. Signal Process."},{"issue":"5","key":"1810_CR18","doi-asserted-by":"publisher","first-page":"2290","DOI":"10.1007\/s12555-017-0720-z","volume":"16","author":"CH Lee","year":"2018","unstructured":"C.H. Lee, S.H. Lee, M.J. Park, O.M. Kwon, Stability and stabilization criteria for sampled-data control system via augmented lyapunov-krasovskii functionals. Int. J. Control Autom. Syst. 16(5), 2290\u20132302 (2018)","journal-title":"Int. J. Control Autom. Syst."},{"key":"1810_CR19","doi-asserted-by":"publisher","first-page":"336","DOI":"10.1016\/j.neucom.2016.04.035","volume":"205","author":"W Li","year":"2016","unstructured":"W. Li, Z. Feng, W. Sun, J. Zhang, Admissibility analysis for Takagi-Sugeno fuzzy singular systems with time delay. Neurocomputing 205, 336\u2013340 (2016)","journal-title":"Neurocomputing"},{"issue":"7","key":"1810_CR20","doi-asserted-by":"publisher","first-page":"2971","DOI":"10.1007\/s00034-016-0443-z","volume":"36","author":"X Lin","year":"2017","unstructured":"X. Lin, K. Liang, H. Li, Y. Jiao, J. Nie, Finite-time stability and stabilization for continuous systems with additive time-varying delays. Circuits Syst. Signal Process. 36(7), 2971\u20132990 (2017)","journal-title":"Circuits Syst. Signal Process."},{"issue":"3","key":"1810_CR21","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1016\/j.isatra.2012.10.007","volume":"52","author":"PL Liu","year":"2013","unstructured":"P.L. Liu, New results on stability analysis for time-varying delay systems with non-linear perturbations. ISA Trans. 52(3), 318\u2013325 (2013)","journal-title":"ISA Trans."},{"key":"1810_CR22","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.isatra.2015.03.001","volume":"57","author":"PL Liu","year":"2015","unstructured":"P.L. Liu, New results on delay-range-dependent stability analysis for interval time-varying delay systems with non-linear perturbations. ISA Trans. 57, 93\u2013100 (2015)","journal-title":"ISA Trans."},{"key":"1810_CR23","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.automatica.2017.11.023","volume":"89","author":"ZG Liu","year":"2018","unstructured":"Z.G. Liu, Y.Q. Wu, Universal strategies to explicit adaptive control of nonlinear time-delay systems with different structures. Automatica 89, 151\u2013159 (2018)","journal-title":"Automatica"},{"key":"1810_CR24","unstructured":"J. Lofberg, YALMIP: A toolbox for modeling and optimization in MATLAB. In: 2004 IEEE international conference on robotics and automation (IEEE Cat. No. 04CH37508), pp. 284\u2013289. IEEE (2004)"},{"key":"1810_CR25","doi-asserted-by":"crossref","unstructured":"K. Moezzi, A.G. Aghdam, Adaptive robust control of uncertain neutral time-delay systems. In: 2008 American Control Conference, pp. 5162\u20135167. IEEE (2008)","DOI":"10.1109\/ACC.2008.4587314"},{"issue":"9","key":"1810_CR26","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1007\/s12046-018-0904-0","volume":"43","author":"A Mukherjee","year":"2018","unstructured":"A. Mukherjee, A. Sengupta, Delay-dependent stabilization of Lipschitz nonlinear systems. S\u0101dhan\u0101 43(9), 148 (2018)","journal-title":"S\u0101dhan\u0101"},{"issue":"2","key":"1810_CR27","doi-asserted-by":"publisher","first-page":"552","DOI":"10.1177\/0142331218767489","volume":"41","author":"I Nejem","year":"2019","unstructured":"I. Nejem, M.H. Bouazizi, F. Bouani, $$H_\\infty $$ dynamic output feedback control of LPV time-delay systems via dilated linear matrix inequalities. Trans. Inst. Meas. Control. 41(2), 552\u2013559 (2019)","journal-title":"Trans. Inst. Meas. Control."},{"issue":"4","key":"1810_CR28","doi-asserted-by":"publisher","first-page":"756","DOI":"10.1109\/9.847117","volume":"45","author":"SK Nguang","year":"2000","unstructured":"S.K. Nguang, Robust stabilization of a class of time-delay nonlinear systems. IEEE Trans. Autom. Control 45(4), 756\u2013762 (2000)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1810_CR29","unstructured":"F.S. de Oliveira, F.O. Souza, Improved delay-dependent stability criteria for linear systems with multiple time-varying delays. International Journal of Control pp. 1\u20139 (2020)"},{"issue":"3","key":"1810_CR30","doi-asserted-by":"publisher","first-page":"1332","DOI":"10.1016\/j.cnsns.2011.07.010","volume":"17","author":"L Pan","year":"2012","unstructured":"L. Pan, J. Cao, Stochastic quasi-synchronization for delayed dynamical networks via intermittent control. Commun. Nonlinear Sci. Numer. Simul. 17(3), 1332\u20131343 (2012)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"1810_CR31","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.jprocont.2018.09.010","volume":"71","author":"S Pourdehi","year":"2018","unstructured":"S. Pourdehi, P. Karimaghaee, Stability analysis and design of model predictive reset control for nonlinear time-delay systems with application to a two-stage chemical reactor system. J. Process Control 71, 103\u2013115 (2018)","journal-title":"J. Process Control"},{"issue":"1","key":"1810_CR32","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/s11633-010-0566-9","volume":"8","author":"K Ramakrishnan","year":"2011","unstructured":"K. Ramakrishnan, G. Ray, Delay-range-dependent stability criterion for interval time-delay systems with nonlinear perturbations. Int. J. Autom. Comput. 8(1), 141\u2013146 (2011)","journal-title":"Int. J. Autom. Comput."},{"key":"1810_CR33","unstructured":"C. Scherer, S. Weiland, Linear matrix inequalities in control. Lecture Notes, Dutch Institute for Systems and Control, Delft, The Netherlands 3(2) (2000)"},{"issue":"4","key":"1810_CR34","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1007\/s00034-010-9164-x","volume":"29","author":"H Shao","year":"2010","unstructured":"H. Shao, Novel delay-dependent stability results for neural networks with time-varying delays. Circuits Syst. Signal Process. 29(4), 637\u2013647 (2010)","journal-title":"Circuits Syst. Signal Process."},{"key":"1810_CR35","doi-asserted-by":"crossref","unstructured":"J. Sun, J. Zhang, Further stability analysis of time-delay systems with nonlinear perturbations. Math. Probl. Eng. 2017(2017)","DOI":"10.1155\/2017\/5941757"},{"key":"1810_CR36","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1016\/j.ins.2014.05.048","volume":"281","author":"W Wang","year":"2014","unstructured":"W. Wang, S.K. Nguang, S. Zhong, F. Liu, Novel delay-dependent stability criterion for time-varying delay systems with parameter uncertainties and nonlinear perturbations. Inf. Sci. 281, 321\u2013333 (2014)","journal-title":"Inf. Sci."},{"issue":"1","key":"1810_CR37","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1504\/IJAAC.2020.103807","volume":"14","author":"Y Wu","year":"2020","unstructured":"Y. Wu, H. Zhang, G. Li, D. Sun, Y. Li, Novel robust stability condition for uncertain systems with interval time-varying delay and nonlinear perturbations. Int. J. Autom. Control 14(1), 98\u2013114 (2020)","journal-title":"Int. J. Autom. Control"},{"key":"1810_CR38","doi-asserted-by":"crossref","unstructured":"A. Zemouche, A. Alessandri, A new LMI condition for decentralized observer-based control of linear systems with nonlinear interconnections. In: 53rd IEEE Conference on Decision and Control, pp. 3125\u20133130. IEEE (2014)","DOI":"10.1109\/CDC.2014.7039871"},{"issue":"1","key":"1810_CR39","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1016\/j.cam.2009.12.013","volume":"234","author":"W Zhang","year":"2010","unstructured":"W. Zhang, X.S. Cai, Z.Z. Han, Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations. J. Comput. Appl. Math. 234(1), 174\u2013180 (2010)","journal-title":"J. Comput. Appl. Math."},{"issue":"8","key":"1810_CR40","doi-asserted-by":"publisher","first-page":"1405","DOI":"10.1016\/j.automatica.2005.03.009","volume":"41","author":"XM Zhang","year":"2005","unstructured":"X.M. Zhang, M. Wu, J.H. She, Y. He, Delay-dependent stabilization of linear systems with time-varying state and input delays. Automatica 41(8), 1405\u20131412 (2005)","journal-title":"Automatica"},{"key":"1810_CR41","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1016\/j.fss.2014.09.012","volume":"263","author":"Z Zhang","year":"2015","unstructured":"Z. Zhang, C. Lin, B. Chen, New stability and stabilization conditions for T-S fuzzy systems with time delay. Fuzzy Sets Syst. 263, 82\u201391 (2015)","journal-title":"Fuzzy Sets Syst."},{"key":"1810_CR42","doi-asserted-by":"crossref","unstructured":"X. Zhou, H. Zhang, X. Hu, J. Hui, T. Li, Improved results on robust stability for systems with interval time-varying delays and nonlinear perturbations. Math. Probl. Eng. 2014(2014)","DOI":"10.1155\/2014\/898260"},{"issue":"5","key":"1810_CR43","doi-asserted-by":"publisher","first-page":"623","DOI":"10.1049\/ip-cta:20045258","volume":"153","author":"Z Zuo","year":"2006","unstructured":"Z. Zuo, Y. Wang, New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations. IEE Proc. Control Theory Appl. 153(5), 623\u2013626 (2006)","journal-title":"IEE Proc. Control Theory Appl."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01810-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-021-01810-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01810-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,31]],"date-time":"2022-01-31T17:28:55Z","timestamp":1643650135000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-021-01810-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,1]]},"references-count":43,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["1810"],"URL":"https:\/\/doi.org\/10.1007\/s00034-021-01810-w","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9,1]]},"assertion":[{"value":"5 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 July 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 July 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}