{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T21:27:30Z","timestamp":1774992450352,"version":"3.50.1"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"19","license":[{"start":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T00:00:00Z","timestamp":1746662400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T00:00:00Z","timestamp":1746662400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62373383"],"award-info":[{"award-number":["62373383"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2025,7]]},"DOI":"10.1007\/s00521-025-11255-w","type":"journal-article","created":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T08:40:43Z","timestamp":1746693643000},"page":"14217-14251","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Predefined-time synchronization of fuzzy competitive neural networks via adaptive sliding mode control"],"prefix":"10.1007","volume":"37","author":[{"given":"Cheng","family":"Zhaohui","sequence":"first","affiliation":[]},{"given":"Minghui","family":"Jiang","sequence":"additional","affiliation":[]},{"given":"Fangmin","family":"Ren","sequence":"additional","affiliation":[]},{"given":"Junhao","family":"Hu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,5,8]]},"reference":[{"key":"11255_CR1","volume":"389","author":"Y Xu","year":"2021","unstructured":"Xu Y, Yu JT, Li WX, Feng JQ (2021) Global asymptotic stability of fractional-order competitive neural networks with multiple time-varying-delay links. Appl Math Comput 389:125498","journal-title":"Appl Math Comput"},{"key":"11255_CR2","doi-asserted-by":"crossref","first-page":"6193","DOI":"10.1016\/j.jde.2020.04.036","volume":"269","author":"JS Yu","year":"2020","unstructured":"Yu JS, Li J (2020) Global asymptotic stability in an interactive wild and sterile mosquito model. J Differ Equ 269:6193\u20136215","journal-title":"J Differ Equ"},{"key":"11255_CR3","doi-asserted-by":"crossref","first-page":"4315","DOI":"10.1007\/s00521-020-05259-x","volume":"33","author":"FM Ren","year":"2020","unstructured":"Ren FM, Jiang MH, Xu H, Fang X (2020) Finite-time synchronization of fractional-order complex-valued fuzzy cellular neural networks with time-varying delays. Neural Comput Appl 33:4315\u20134328","journal-title":"Neural Comput Appl"},{"key":"11255_CR4","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.fss.2017.04.005","volume":"338","author":"WT Wang","year":"2018","unstructured":"Wang WT (2018) New finite-time synchronization of memristive Cohen-Grossberg neural network with reaction-diffusion term based on time-varying delay. Fuzzy Sets Syst 338:40\u201349","journal-title":"Fuzzy Sets Syst"},{"key":"11255_CR5","volume":"681","author":"JY Shi","year":"2024","unstructured":"Shi JY, Zhou PP, Jia Q, Cai SM (2024) Fixed-time synchronization of multilayered complex dynamic networks via quantized variable-gain saturated control. Inf Sci 681:121206","journal-title":"Inf Sci"},{"key":"11255_CR6","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.neunet.2017.02.001","volume":"89","author":"C Hu","year":"2017","unstructured":"Hu C, Yu J, Chen ZH, Jiang HJ, Huang TW (2017) Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks. Neural Netw 89:74\u201383","journal-title":"Neural Netw"},{"key":"11255_CR7","doi-asserted-by":"crossref","first-page":"5542","DOI":"10.1109\/TNNLS.2021.3070966","volume":"33","author":"QT Gan","year":"2022","unstructured":"Gan QT, Li LC, Yang J, Qin Y, Meng MQ (2022) Improved results on fixed-\/preassigned-time synchronization for memristive complex-valued neural networks. IEEE Trans Neural Netw Learn Syst 33:5542\u20135556","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"11255_CR8","volume":"610","author":"H Pu","year":"2023","unstructured":"Pu H, Li FJ (2023) Fixed\/predefined-time synchronization of complex-valued discontinuous delayed neural networks via non-chattering and saturation control. Phys A 610:128425","journal-title":"Phys A"},{"key":"11255_CR9","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.chaos.2019.03.015","volume":"122","author":"CAA Gijona","year":"2019","unstructured":"Gijona CAA, Vazquez AJM, Torres JDS, Galvana GR, Reyes FM (2019) On predefined-time synchronisation of chaotic systems. Chaos, Solitons Fractals 122:172\u2013178","journal-title":"Chaos, Solitons Fractals"},{"key":"11255_CR10","volume":"164","author":"MJ Zhang","year":"2022","unstructured":"Zhang MJ, Zang HY, Bai LY (2022) A new predefined-time sliding mode control scheme for synchronizing chaotic systems. Chaos, Solitons Fractals 164:112745","journal-title":"Chaos, Solitons Fractals"},{"key":"11255_CR11","volume":"8","author":"LX Lin","year":"2020","unstructured":"Lin LX, Wu PX, Chen YJ, He BW (2020) Enhancing the settling time estimation of fixed-time stability and applying it to the predefined-time synchronization of delayed memristive neural networks with external unknown disturbance. Chaos 8:083110","journal-title":"Chaos"},{"key":"11255_CR12","doi-asserted-by":"crossref","unstructured":"S\u00e1nchez-Torres J D, Sanchez E N, and Loukianov A G (2015) Predefined-time stability of dynamical systems with sliding modes. In: 2015 American control conference (ACC) pp 5842-5846 IEEE.","DOI":"10.1109\/ACC.2015.7172255"},{"key":"11255_CR13","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1002\/asjc.1785","volume":"21","author":"EJ Rodriguez","year":"2019","unstructured":"Rodriguez EJ, Torres JDS, Gutierrez DG, Loukinanov AG (2019) Variable structure predefined-time stabilization of second-order systems. Asian J Control 21:1179\u20131188","journal-title":"Asian J Control"},{"key":"11255_CR14","first-page":"164","volume":"217","author":"D Zhang","year":"2010","unstructured":"Zhang D, Xu J (2010) Projective synchronization of different chaotic time-delayed neural networks based on integral sliding mode controller. Appl Math Comput 217:164\u2013174","journal-title":"Appl Math Comput"},{"key":"11255_CR15","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/j.neunet.2020.07.002","volume":"130","author":"HW Ren","year":"2020","unstructured":"Ren HW, Peng ZP, Gu Y (2020) Fixed-time synchronization of stochastic memristor-based neural networks with adaptive control. Neural Netw 130:165\u2013175","journal-title":"Neural Netw"},{"key":"11255_CR16","first-page":"13","volume":"18","author":"HR Karimi","year":"2021","unstructured":"Karimi HR (2021) Adaptive control design for fixed-time synchronization of fuzzy stochastic cellular neural networks with discrete and distributed delay. Iran J Fuzzy Syst 18:13\u201328","journal-title":"Iran J Fuzzy Syst"},{"key":"11255_CR17","doi-asserted-by":"crossref","first-page":"5504","DOI":"10.1016\/j.jfranklin.2023.03.057","volume":"360","author":"XF Wu","year":"2023","unstructured":"Wu XF, Bao HB, Cao JD (2023) Fixed-time synchronization of multiplex networks by sliding mode control. J Frankl Inst 360:5504\u20135523","journal-title":"J Frankl Inst"},{"key":"11255_CR18","volume":"182","author":"JY Shi","year":"2024","unstructured":"Shi JY, Zhou PP, Cai SM (2024) On fixed-time interlayer synchronization of two-layer multiweighted complex dynamic networks: An economic and practical non-chattering adaptive control approach. Chaos, Solitons Fractals 182:114835","journal-title":"Chaos, Solitons Fractals"},{"key":"11255_CR19","first-page":"1","volume":"35","author":"YY Ni","year":"2023","unstructured":"Ni YY, Wang Z, Fan YJ, Lu JQ, Shen H (2023) A switching memory-based event-trigger scheme for synchronization of Lur\u2019e systems with actuator saturation: a hybrid Lyapunov method. IEEE Trans Neural Netw Learn Syst 35:1\u201312","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"11255_CR20","doi-asserted-by":"crossref","first-page":"2029","DOI":"10.1109\/TFUZZ.2022.3218159","volume":"31","author":"FM Ren","year":"2023","unstructured":"Ren FM, Wang XP, Zeng ZG (2023) Improved fixed-time stabilization of fuzzy neural networks with distributed delay via adaptive sliding mode control. IEEE Trans Fuzzy Syst 31:2029\u20132043","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"11255_CR21","doi-asserted-by":"crossref","first-page":"963","DOI":"10.1016\/j.cnsns.2009.05.025","volume":"15","author":"H Delavari","year":"2010","unstructured":"Delavari H, Ghaderi R, Ranjbar A, Momani S (2010) Fuzzy fractional order sliding mode controller for nonlinear systems. Commun Nonlinear Sci Numer Simul 15:963\u2013978","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"11255_CR22","first-page":"1141","volume":"8","author":"ML Corradini","year":"2021","unstructured":"Corradini ML, Cristofaro A (2021) Nonsingular terminal sliding-mode control of nonlinear planar systems with global fixed-time stability guarantees. Automatica 8:1141\u20131152","journal-title":"Automatica"},{"key":"11255_CR23","doi-asserted-by":"crossref","first-page":"6945","DOI":"10.1007\/s00521-018-3520-3","volume":"31","author":"VT Yen","year":"2019","unstructured":"Yen VT, Nan WY, Cuong PV (2019) Finite-time fuzzy sliding mode control for nonlinear descriptor systems. Neural Comput Appl 31:6945\u20136958","journal-title":"Neural Comput Appl"},{"key":"11255_CR24","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1109\/TSMC.2018.2888867","volume":"51","author":"LM Wang","year":"2021","unstructured":"Wang LM, Zeng ZG, Ge MF (2021) A disturbance rejection framework for finite-time and fixed-time stabilization of delayed memristive neural networks. IEEE Trans Syst Man Cybern Syst 51:905\u2013915","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"11255_CR25","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1109\/TSMC.1983.6313075","volume":"5","author":"MA Cohen","year":"1983","unstructured":"Cohen MA, Grossberg S (1983) Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybern 5:815\u2013828","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"11255_CR26","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/TNN.2003.810594","volume":"14","author":"AM Base","year":"2003","unstructured":"Base AM, Pilyugin SS, Chen Y (2003) Global exponential stability of competitve neural networks with different time scales. IEEE Trans Neural Netw 14:716\u2013719","journal-title":"IEEE Trans Neural Netw"},{"key":"11255_CR27","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/TNN.2003.810594","volume":"14","author":"AM Base","year":"2003","unstructured":"Base AM, Pilyugin SS, Chen Y (2003) Global exponential stability of competitive neural networks with different time scales. IEEE Trans Neural Netw 14:716\u2013719","journal-title":"IEEE Trans Neural Netw"},{"key":"11255_CR28","doi-asserted-by":"crossref","first-page":"1152","DOI":"10.1109\/TNN.2006.875995","volume":"17","author":"HT Lu","year":"2006","unstructured":"Lu HT, Amari SI (2006) Global exponential stability of multitime scale competitive neural networks with nonsmooth functions. IEEE Trans Neural Netw 17:1152\u20131164","journal-title":"IEEE Trans Neural Netw"},{"key":"11255_CR29","doi-asserted-by":"crossref","first-page":"11555","DOI":"10.1007\/s00521-021-05833-x","volume":"33","author":"C Aouiti","year":"2021","unstructured":"Aouiti C, Hui Q, Jallouli H (2021) Sliding mode control-based fixed-time stabilization and synchronization of inertial neural networks with time-varying delays. Neural Comput Appl 33:11555\u201311572","journal-title":"Neural Comput Appl"},{"key":"11255_CR30","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1109\/TCYB.2015.2413212","volume":"46","author":"XB Nie","year":"2016","unstructured":"Nie XB, Zheng WX (2016) Dynamical behaviors of multiple equilibria in competitive neural networks with discontinuous nonmonotonic piecewise linear activation functions. IEEE Trans Cybern 46:679\u2013693","journal-title":"IEEE Trans Cybern"},{"key":"11255_CR31","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1016\/j.jfranklin.2009.03.005","volume":"347","author":"HB Gu","year":"2010","unstructured":"Gu HB, Jiang HJ, Teng ZD (2010) Existence and global exponential stability of equilibrium of competitive neural networks with different time scales and multiple delays. J Frankl Inst 347:719\u2013731","journal-title":"J Frankl Inst"},{"key":"11255_CR32","volume":"127","author":"CG Xu","year":"2023","unstructured":"Xu CG, Jiang MH, Hu JH (2023) Mean-square finite-time synchronization of stochastic competitive neural networks with infinite time-varying delays and reaction-diffusion terms. Commun Nonlinear Sci Numer Simulat 127:107535","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"key":"11255_CR33","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/j.neucom.2013.03.030","volume":"119","author":"XB Nie","year":"2013","unstructured":"Nie XB, Cao JD, Fei SM (2013) Multistability and instability of delayed competitive neural networks with nondecreasing piecewise linear activation functions. Neurocomputing 119:281\u2013291","journal-title":"Neurocomputing"},{"key":"11255_CR34","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/s13042-012-0097-5","volume":"4","author":"QT Gan","year":"2013","unstructured":"Gan QT (2013) Synchronization of competitive neural networks with different time scales and time-varying delay based on delay partitioning approach. Int J Mach Learn Cybern 4:327\u2013337","journal-title":"Int J Mach Learn Cybern"},{"key":"11255_CR35","first-page":"37083718","volume":"17","author":"Q Gan","year":"2012","unstructured":"Gan Q, Hu RX, Liang YH (2012) Adaptive synchronization for stochastic competitive neural networks with mixed time-varying delays. Commun Nonlinear Sci Numer Simul 17:37083718","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"11255_CR36","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1007\/s11071-011-0116-1","volume":"67","author":"QT Gan","year":"2012","unstructured":"Gan QT, Xu R, Kang XB (2012) Synchronization of unknown chaotic delayed competitive neural networks with different time scales based on adaptive control and parameter identification. Nonlinear Dyn 67:1893\u20131902","journal-title":"Nonlinear Dyn"},{"key":"11255_CR37","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1016\/j.neucom.2013.12.008","volume":"133","author":"Y Liu","year":"2014","unstructured":"Liu Y, Yang YQ, Liang T, Li L (2014) Existence and global exponential stability of anti-periodic solutions for competitive neural networks with delays in the leakage terms on time scales. Neurocomputing 133:471\u2013482","journal-title":"Neurocomputing"},{"key":"11255_CR38","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.neunet.2004.11.009","volume":"18","author":"HT Lu","year":"2005","unstructured":"Lu HT, He ZY (2005) Global exponential stability of delayed competitive neural networks with different time scales. Neural Netw 18:243\u2013250","journal-title":"Neural Netw"},{"key":"11255_CR39","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1007\/s11063-015-9486-6","volume":"44","author":"LQ Zhou","year":"2016","unstructured":"Zhou LQ, Zhao ZY (2016) Exponential stability of a class of competitive neural networks with multi-proportional delays. Neural Process Lett 44:651\u2013663","journal-title":"Neural Process Lett"},{"key":"11255_CR40","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1109\/TNNLS.2016.2614998","volume":"29","author":"LV Hien","year":"2018","unstructured":"Hien LV, Son DT, Trinh H (2018) On global dissipativity of nonautonomous neural networks with multiple proportional delays. IEEE Trans Neural Netw Learn Syst 29:225\u2013231","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"11255_CR41","doi-asserted-by":"crossref","first-page":"4674","DOI":"10.1016\/j.physleta.2008.04.053","volume":"372","author":"W Ding","year":"2008","unstructured":"Ding W, Han MA (2008) Synchronization of delayed fuzzy cellular neural networks based on adaptive control. Phys Lett A 372:4674\u20134681","journal-title":"Phys Lett A"},{"key":"11255_CR42","volume":"24","author":"DM Ruan","year":"2023","unstructured":"Ruan DM, Yang SJ, Zhang WL (2023) Fixed\/predefined-time synchronization on complex networks in the light of T-S fuzzy system. IFAC J Syst Control 24:100216","journal-title":"IFAC J Syst Control"},{"key":"11255_CR43","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1016\/j.neunet.2021.06.026","volume":"142","author":"C Chen","year":"2021","unstructured":"Chen C, Mi L, Liu Z, Qiu B, Zhao H, Xu L (2021) Predefined-time synchronization of competitive neural networks. Neural Netw 142:492\u2013499","journal-title":"Neural Netw"},{"key":"11255_CR44","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1109\/TNN.2009.2016842","volume":"20","author":"YH Xia","year":"2009","unstructured":"Xia YH, Yang ZJ, Han MA (2009) Lag synchronization of unknown chaotic delayed Yang-Yang-type fuzzy neural networks with noise perturbation based on sdaptive control and parameter identification. IEEE Trans Neural Netw 20:1165\u20131180","journal-title":"IEEE Trans Neural Netw"},{"key":"11255_CR45","doi-asserted-by":"crossref","first-page":"2106","DOI":"10.1109\/TAC.2011.2179869","volume":"57","author":"A Polyakov","year":"2012","unstructured":"Polyakov A (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Autom Control 57:2106\u20132110","journal-title":"IEEE Trans Autom Control"},{"key":"11255_CR46","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1016\/j.cnsns.2011.05.014","volume":"17","author":"QT Gan","year":"2012","unstructured":"Gan QT, Xu R, Yang PH (2012) Synchronization of non-identical chaotic delayed fuzzy cellular neural networks based on sliding mode control. Commun Nonlinear Sci Numer Simulat 17:433\u2013443","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"key":"11255_CR47","doi-asserted-by":"crossref","first-page":"1036","DOI":"10.1109\/TFUZZ.2021.3052104","volume":"30","author":"J Cheng","year":"2022","unstructured":"Cheng J, Wang YY, Park JH, Cao JD, Shi KB (2022) Static output feedback quantized control for fuzzy markovian switching singularly perturbed systems with deception attacks. IEEE Trans Fuzzy Syst 30:1036\u20131047","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"11255_CR48","volume-title":"Inequalities","author":"GH Hardy","year":"1952","unstructured":"Hardy GH et al (1952) Inequalities. Cambridge Univ. Press, Cambridge, U.K"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-025-11255-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-025-11255-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-025-11255-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,27]],"date-time":"2025-06-27T08:27:44Z","timestamp":1751012864000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-025-11255-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,8]]},"references-count":48,"journal-issue":{"issue":"19","published-print":{"date-parts":[[2025,7]]}},"alternative-id":["11255"],"URL":"https:\/\/doi.org\/10.1007\/s00521-025-11255-w","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,8]]},"assertion":[{"value":"28 April 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 April 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 May 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"We declare that we have no financial or personal relationships with other people that may unduly affect our work.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interests"}}]}}