{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T05:38:08Z","timestamp":1751607488717,"version":"3.37.3"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,8,17]],"date-time":"2021-08-17T00:00:00Z","timestamp":1629158400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,8,17]],"date-time":"2021-08-17T00:00:00Z","timestamp":1629158400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61673014"],"award-info":[{"award-number":["61673014"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Natural Foundation of Xianyang Normal University","award":["12XSYK011"],"award-info":[{"award-number":["12XSYK011"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2022,1]]},"DOI":"10.1007\/s00521-021-06387-8","type":"journal-article","created":{"date-parts":[[2021,8,17]],"date-time":"2021-08-17T19:02:49Z","timestamp":1629226969000},"page":"617-629","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Adaptive NN prescribed performance control design for uncertain switching nonlinear systems with periodically time-varying parameters"],"prefix":"10.1007","volume":"34","author":[{"given":"Xiaoli","family":"Yang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3668-1162","authenticated-orcid":false,"given":"Jing","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuiyan","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaobo","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,8,17]]},"reference":[{"issue":"11\u201312","key":"6387_CR1","first-page":"1383","volume":"43","author":"RJ Marks II","year":"1991","unstructured":"Marks RJ II, Gravagne IA, Davis JM, DaCunha JJ (1991) Nonregressivity in switched linear circuits and mechanical systems. Math Comput Model 43(11\u201312):1383\u20131392","journal-title":"Math Comput Model"},{"key":"6387_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0017-8","volume-title":"Switching in systems and control","author":"D Liberzion","year":"2003","unstructured":"Liberzion D (2003) Switching in systems and control. Brikh\u00e4user, Boston"},{"issue":"6","key":"6387_CR3","doi-asserted-by":"publisher","first-page":"1242","DOI":"10.1109\/TCST.2008.919447","volume":"16","author":"J Liu","year":"2008","unstructured":"Liu J, Peng H (2008) Modeling and control of a power-split hybrid vehicle. IEEE Trans Control Syst Technol 16(6):1242\u20131251","journal-title":"IEEE Trans Control Syst Technol"},{"issue":"3","key":"6387_CR4","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1109\/TCYB.2016.2521179","volume":"47","author":"S Yin","year":"2016","unstructured":"Yin S, Yu H, Shahnazi R, Haghani A (2016) Fuzzy adaptive tracking control of constrained nonlinear switched stochastic pure-feedback systems. IEEE Trans Cybern 47(3):579\u2013588","journal-title":"IEEE Trans Cybern"},{"issue":"5","key":"6387_CR5","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1016\/j.sysconle.2004.09.006","volume":"54","author":"L Vu","year":"2005","unstructured":"Vu L, Liberzon D (2005) Common Lyapunov functions for families of commuting nonlinear systems. Syst Control Lett 54(5):405\u2013416","journal-title":"Syst Control Lett"},{"issue":"2","key":"6387_CR6","doi-asserted-by":"publisher","first-page":"614","DOI":"10.1016\/j.automatica.2013.11.039","volume":"50","author":"X Zhao","year":"2014","unstructured":"Zhao X, Liu X, Yin S, Li H (2014) Improved results on stability of continuous-time switched positive linear systems. Automatica 50(2):614\u2013621","journal-title":"Automatica"},{"key":"6387_CR7","doi-asserted-by":"publisher","first-page":"3786","DOI":"10.1109\/ACCESS.2017.2788446","volume":"6","author":"J Li","year":"2018","unstructured":"Li J, Yang X, Wu J (2018) Adaptive tracking control approach with prespecified accuracy for uncertain nonlinearly parameterized switching systems. IEEE Access 6:3786\u20133793","journal-title":"IEEE Access"},{"key":"6387_CR8","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1016\/j.automatica.2015.02.004","volume":"54","author":"L Long","year":"2015","unstructured":"Long L, Wang Z, Zhao J (2015) Switched adaptive control of switched nonlinearly parameterized systems with unstable subsystems. Automatica 54:217\u2013228","journal-title":"Automatica"},{"issue":"4","key":"6387_CR9","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1002\/rnc.3585","volume":"27","author":"L Long","year":"2017","unstructured":"Long L, Zhao J (2017) Adaptive control for a class of high-order switched nonlinearly parameterized systems. Int J Robust Nonlinear Control 27(4):547\u2013565","journal-title":"Int J Robust Nonlinear Control"},{"issue":"5","key":"6387_CR10","doi-asserted-by":"publisher","first-page":"1304","DOI":"10.1109\/TAC.2012.2220031","volume":"58","author":"C Briat","year":"2013","unstructured":"Briat C, Seuret A (2013) Affine minimal and mode-dependent dwell-time characterization for uncertain switched linear systems. IEEE Trans Autom Control 58(5):1304\u20131310","journal-title":"IEEE Trans Autom Control"},{"issue":"6","key":"6387_CR11","doi-asserted-by":"publisher","first-page":"1089","DOI":"10.1007\/s00034-010-9191-7","volume":"29","author":"J Lian","year":"2010","unstructured":"Lian J, Zhao J (2010) Adaptive variable structure control for uncertain switched delay systems. Circuits Syst Signal Process 29(6):1089\u20131102","journal-title":"Circuits Syst Signal Process"},{"issue":"11","key":"6387_CR12","doi-asserted-by":"publisher","first-page":"1819","DOI":"10.1016\/j.automatica.2010.06.050","volume":"46","author":"R Ma","year":"2010","unstructured":"Ma R, Zhao J (2010) Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings. Automatica 46(11):1819\u20131823","journal-title":"Automatica"},{"issue":"7","key":"6387_CR13","doi-asserted-by":"publisher","first-page":"2924","DOI":"10.1016\/j.jfranklin.2017.01.032","volume":"354","author":"J Zhang","year":"2017","unstructured":"Zhang J, Zhu F, Zhao X, Wang F (2017) Robust impulsive reset observers of a class of switched nonlinear systems with unknown inputs. J Frankl Inst 354(7):2924\u20132943","journal-title":"J Frankl Inst"},{"issue":"4","key":"6387_CR14","doi-asserted-by":"publisher","first-page":"817","DOI":"10.1109\/TFUZZ.2013.2276762","volume":"22","author":"Y Mao","year":"2013","unstructured":"Mao Y, Zhang H, Xu S (2013) The exponential stability and asynchronous stabilization of a class of switched nonlinear system via the TCS fuzzy model. IEEE Trans Fuzzy Syst 22(4):817\u2013828","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"9","key":"6387_CR15","first-page":"3585","volume":"9","author":"CA Ibanez","year":"2013","unstructured":"Ibanez CA, Suarez-Castanon MS, Gutierrez-Frias OO (2013) A switching controller for the stabilization of the damping inverted pendulum cart system. Int J Innov Comput Inf Control 9(9):3585\u20133597","journal-title":"Int J Innov Comput Inf Control"},{"issue":"5","key":"6387_CR16","doi-asserted-by":"publisher","first-page":"1414","DOI":"10.1109\/TFUZZ.2014.2362144","volume":"23","author":"N Wang","year":"2014","unstructured":"Wang N, Er MJ, Han M (2014) Dynamic tanker steering control using generalized ellipsoidal-basis-function-based fuzzy neural networks. IEEE Trans Fuzzy Syst 23(5):1414\u20131427","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"6387_CR17","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/j.automatica.2016.10.011","volume":"76","author":"YJ Liu","year":"2017","unstructured":"Liu YJ, Tong S (2017) Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems. Automatica 76:143\u2013152","journal-title":"Automatica"},{"issue":"11","key":"6387_CR18","doi-asserted-by":"publisher","first-page":"1957","DOI":"10.1016\/S0005-1098(03)00205-X","volume":"39","author":"YP Tian","year":"2003","unstructured":"Tian YP, Yu X (2003) Robust learning control for a class of nonlinear systems with periodic and aperiodic uncertainties. Automatica 39(11):1957\u20131966","journal-title":"Automatica"},{"issue":"10","key":"6387_CR19","doi-asserted-by":"publisher","first-page":"1599","DOI":"10.1109\/TNN.2011.2165222","volume":"22","author":"Y Wen","year":"2011","unstructured":"Wen Y, Ren X (2011) Neural networks-based adaptive control for nonlinear time-varying delays systems with unknown control direction. IEEE Trans Neural Netw 22(10):1599\u20131612","journal-title":"IEEE Trans Neural Netw"},{"issue":"4","key":"6387_CR20","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1109\/TAC.2004.825612","volume":"49","author":"JX Xu","year":"2004","unstructured":"Xu JX (2004) A new periodic adaptive control approach for time-varying parameters with known periodicity. IEEE Trans Autom Control 49(4):579\u2013583","journal-title":"IEEE Trans Autom Control"},{"issue":"2","key":"6387_CR21","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1109\/TNN.2009.2038999","volume":"21","author":"W Chen","year":"2010","unstructured":"Chen W, Jiao L (2010) Adaptive tracking for periodically time-varying and nonlinearly parameterized systems using multilayer neural networks. IEEE Trans Neural Netw 21(2):345\u2013351","journal-title":"IEEE Trans Neural Netw"},{"issue":"4","key":"6387_CR22","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1049\/ip-cta:20045283","volume":"153","author":"Z Ding","year":"2006","unstructured":"Ding Z (2006) Adaptive estimation and rejection of unknown sinusoidal disturbances in a class of non-minimum-phase nonlinear systems. IEE Proc Control Theory Appl 153(4):379\u2013386","journal-title":"IEE Proc Control Theory Appl"},{"issue":"3","key":"6387_CR23","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1016\/j.automatica.2006.10.005","volume":"43","author":"Z Ding","year":"2007","unstructured":"Ding Z (2007) Asymptotic rejection of asymmetric periodic disturbances in output-feedback nonlinear systems. Automatica 43(3):555\u2013561","journal-title":"Automatica"},{"issue":"2","key":"6387_CR24","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.arcontrol.2008.07.002","volume":"32","author":"M Tomizuka","year":"2008","unstructured":"Tomizuka M (2008) Dealing with periodic disturbances in controls of mechanical systems. Annu Rev Control 32(2):193\u2013199","journal-title":"Annu Rev Control"},{"issue":"4","key":"6387_CR25","doi-asserted-by":"publisher","first-page":"538","DOI":"10.1109\/TSMCB.2002.1018772","volume":"32","author":"WE Dixon","year":"2002","unstructured":"Dixon WE, Zergeroglu E, Dawson DM, Costic BT (2002) Repetitive learning control: a Lyapunov-based approach. IEEE Trans Syst Man Cybern Part B 32(4):538\u2013545","journal-title":"IEEE Trans Syst Man Cybern Part B"},{"issue":"6","key":"6387_CR26","doi-asserted-by":"publisher","first-page":"1314","DOI":"10.1080\/00207179.2017.1314019","volume":"91","author":"M Yu","year":"2018","unstructured":"Yu M, Huang D, Yang W (2018) Discrete-time switching periodic adaptive control for time-varying parameters with unknown periodicity. Int J Control 91(6):1314\u20131324","journal-title":"Int J Control"},{"issue":"7","key":"6387_CR27","doi-asserted-by":"publisher","first-page":"1232","DOI":"10.1109\/TAC.2007.900827","volume":"52","author":"S Liuzzo","year":"2007","unstructured":"Liuzzo S, Marino R, Tomei P (2007) Adaptive learning control of nonlinear systems by output error feedback. IEEE Trans Autom Control 52(7):1232\u20131248","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"6387_CR28","doi-asserted-by":"publisher","first-page":"674","DOI":"10.1109\/TFUZZ.2010.2046329","volume":"18","author":"W Chen","year":"2010","unstructured":"Chen W, Jiao L, Li R, Li J (2010) Adaptive backstepping fuzzy control for nonlinearly parameterized systems with periodic disturbances. IEEE Trans Fuzzy Syst 18(4):674\u2013685","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"10","key":"6387_CR29","doi-asserted-by":"publisher","first-page":"1383","DOI":"10.1049\/iet-cta.2008.0322","volume":"3","author":"W Chen","year":"2009","unstructured":"Chen W (2009) Adaptive backstepping dynamic surface control for systems with periodic disturbances using neural networks. IET Control Theory Appl 3(10):1383\u20131394","journal-title":"IET Control Theory Appl"},{"key":"6387_CR30","doi-asserted-by":"publisher","first-page":"63361","DOI":"10.1109\/ACCESS.2019.2905102","volume":"7","author":"N Wang","year":"2019","unstructured":"Wang N, Wang Y, Wang X, Liu Z (2019) FSE-RBFNNs-based robust adaptive DSC design for a larger class of nonlinear strict-feedback systems. IEEE Access 7:63361\u201363372","journal-title":"IEEE Access"},{"issue":"4","key":"6387_CR31","doi-asserted-by":"publisher","first-page":"746","DOI":"10.1109\/TFUZZ.2019.2915192","volume":"28","author":"M Lv","year":"2019","unstructured":"Lv M, De Schutter B, Yu W, Zhang W, Baldi S (2019) Nonlinear systems with uncertain periodically disturbed control gain functions: adaptive fuzzy control with invariance properties. IEEE Trans Fuzzy Syst 28(4):746\u2013757","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"11","key":"6387_CR32","doi-asserted-by":"publisher","first-page":"2300","DOI":"10.1080\/00207721.2017.1316880","volume":"48","author":"W Si","year":"2017","unstructured":"Si W, Dong X, Yang F (2017) Adaptive neural prescribed performance control for a class of strict-feedback stochastic nonlinear systems under arbitrary switchings. Int J Syst Sci 48(11):2300\u20132310","journal-title":"Int J Syst Sci"},{"key":"6387_CR33","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/j.automatica.2017.02.005","volume":"80","author":"Y Li","year":"2017","unstructured":"Li Y, Tong S, Liu L, Feng G (2017) Adaptive output-feedback control design with prescribed performance for switched nonlinear systems. Automatica 80:225\u2013231","journal-title":"Automatica"},{"key":"6387_CR34","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/j.jprocont.2020.03.010","volume":"89","author":"SM Tabatabaei","year":"2020","unstructured":"Tabatabaei SM, Kamali S, Arefi MM, Cao J (2020) Prescribed performance adaptive DSC for a class of time-delayed switched nonlinear systems in nonstrict-feedback form: application to a two-stage chemical reactor. J Process Control 89:85\u201394","journal-title":"J Process Control"},{"issue":"7","key":"6387_CR35","first-page":"3059","volume":"29","author":"Y Li","year":"2017","unstructured":"Li Y, Tong S (2017) Adaptive neural networks prescribed performance control design for switched interconnected uncertain nonlinear systems. IEEE Trans Neural Netw Learn Syst 29(7):3059\u20133068","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"6387_CR36","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1016\/j.nahs.2017.01.005","volume":"24","author":"D Zhai","year":"2017","unstructured":"Zhai D, Lu AY, Ye D, Zhang QL (2017) Adaptive tracking control for a class of switched uncertain nonlinear systems under a new state-dependent switching law. Nonlinear Anal Hybrid Syst 24:227\u2013243","journal-title":"Nonlinear Anal Hybrid Syst"},{"issue":"18","key":"6387_CR37","doi-asserted-by":"publisher","first-page":"5981","DOI":"10.1002\/rnc.4352","volume":"28","author":"SA Malek","year":"2018","unstructured":"Malek SA, Shahrokhi M, Vafa E, Moradvandi A (2018) Adaptive prescribed performance control of switched MIMO uncertain nonlinear systems subject to unmodeled dynamics and input nonlinearities. Int J Robust Nonlinear Control 28(18):5981\u20135996","journal-title":"Int J Robust Nonlinear Control"},{"issue":"9","key":"6387_CR38","doi-asserted-by":"publisher","first-page":"1842","DOI":"10.1109\/TNNLS.2014.2357451","volume":"26","author":"W Chen","year":"2014","unstructured":"Chen W, Ge SS, Wu J, Gong M (2014) Globally stable adaptive backstepping neural network control for uncertain strict-feedback systems with tracking accuracy known a priori. IEEE Trans Neural Netw Learn Syst 26(9):1842\u20131854","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"3","key":"6387_CR39","doi-asserted-by":"publisher","first-page":"721","DOI":"10.1109\/TSMCB.2008.918568","volume":"38","author":"M Wang","year":"2008","unstructured":"Wang M, Chen B, Shi P (2008) Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems. IEEE Trans Syst Man Cybern Part B 38(3):721\u2013730","journal-title":"IEEE Trans Syst Man Cybern Part B"},{"issue":"3","key":"6387_CR40","doi-asserted-by":"publisher","first-page":"1185","DOI":"10.1007\/s11071-015-2396-3","volume":"83","author":"J Wu","year":"2016","unstructured":"Wu J, Li J (2016) Adaptive fuzzy control for perturbed strict-feedback nonlinear systems with predefined tracking accuracy. Nonlinear Dyn 83(3):1185\u20131197","journal-title":"Nonlinear Dyn"},{"issue":"6","key":"6387_CR41","doi-asserted-by":"publisher","first-page":"837","DOI":"10.1109\/72.165588","volume":"3","author":"RM Sanner","year":"1992","unstructured":"Sanner RM, Slotine JE (1992) Gaussian networks for direct adaptive control. IEEE Trans Neural Netw 3(6):837\u2013863","journal-title":"IEEE Trans Neural Netw"},{"key":"6387_CR42","volume-title":"Stable adaptive neural network control","author":"SS Ge","year":"2013","unstructured":"Ge SS, Hang CC, Lee TH, Zhang T (2013) Stable adaptive neural network control. Springer, Berlin"},{"issue":"7","key":"6387_CR43","doi-asserted-by":"publisher","first-page":"2536","DOI":"10.1109\/TCYB.2018.2828308","volume":"49","author":"L Liu","year":"2018","unstructured":"Liu L, Liu YJ, Tong S (2018) Neural networks-based adaptive finite-time fault-tolerant control for a class of strict-feedback switched nonlinear systems. IEEE Trans Cybern 49(7):2536\u20132545","journal-title":"IEEE Trans Cybern"},{"issue":"4","key":"6387_CR44","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/s10404-016-1727-0","volume":"20","author":"F Cairone","year":"2016","unstructured":"Cairone F, Gagliano S, Carbone DC et al (2016) Micro-optofluidic switch realized by 3D printing technology. Microfluid Nanofluid 20(4):61","journal-title":"Microfluid Nanofluid"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-021-06387-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-021-06387-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-021-06387-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,5]],"date-time":"2023-02-05T19:09:43Z","timestamp":1675624183000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-021-06387-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,17]]},"references-count":44,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,1]]}},"alternative-id":["6387"],"URL":"https:\/\/doi.org\/10.1007\/s00521-021-06387-8","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"type":"print","value":"0941-0643"},{"type":"electronic","value":"1433-3058"}],"subject":[],"published":{"date-parts":[[2021,8,17]]},"assertion":[{"value":"2 September 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 July 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 August 2021","order":3,"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"}}]}}