{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T07:37:20Z","timestamp":1780472240958,"version":"3.54.1"},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,2,8]],"date-time":"2021-02-08T00:00:00Z","timestamp":1612742400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,2,8]],"date-time":"2021-02-08T00:00:00Z","timestamp":1612742400000},"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":["Neural Process Lett"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s11063-021-10428-7","type":"journal-article","created":{"date-parts":[[2021,2,9]],"date-time":"2021-02-09T07:16:55Z","timestamp":1612855015000},"page":"1035-1063","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Exponential Synchronization of Nonlinear Multi-weighted Complex Dynamic Networks with Hybrid Time Varying Delays"],"prefix":"10.1007","volume":"53","author":[{"given":"S.","family":"Aadhithiyan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R.","family":"Raja","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3130-4923","authenticated-orcid":false,"given":"Quanxin","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J.","family":"Alzabut","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Niezabitowski","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"C. P.","family":"Lim","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,2,8]]},"reference":[{"issue":"1\u20132","key":"10428_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0377-0427(01)00432-0","volume":"141","author":"R Agarwal","year":"2002","unstructured":"Agarwal R, Bohner M, Regan DO, Peterson A (2002) Dynamic equations on time scales: a survey. J Comput Appl Math 141(1\u20132):1\u201326","journal-title":"J Comput Appl Math"},{"key":"10428_CR2","doi-asserted-by":"publisher","first-page":"112578","DOI":"10.1016\/j.cam.2019.112578","volume":"368","author":"A Alsaedi","year":"2020","unstructured":"Alsaedi A, Usha M, Syed Ali M, Ahmad B (2020) Finite-time synchronization of sampled-data Markovian jump complex dynamical networks with additive time-varying delays based on dissipative theory. J Comput Appl Math 368:112578","journal-title":"J Comput Appl Math"},{"key":"10428_CR3","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1016\/j.matcom.2018.05.008","volume":"155","author":"K Balasundaram","year":"2019","unstructured":"Balasundaram K, Raja R, Pratap A, Chandrasekaran S (2019) Impulsive effects on competitive neural networks with mixed delays: existence and exponential stability analysis. Math Comput Simul 155:290\u2013302","journal-title":"Math Comput Simul"},{"issue":"8","key":"10428_CR4","doi-asserted-by":"publisher","first-page":"1167","DOI":"10.1007\/s00521-010-0467-4","volume":"20","author":"Q Cheng","year":"2010","unstructured":"Cheng Q, Cao J (2010) Global synchronization of complex networks with discrete time delays and stochastic disturbances. Neural Comput Appl 20(8):1167\u20131179","journal-title":"Neural Comput Appl"},{"issue":"P2","key":"10428_CR5","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1016\/j.neucom.2014.10.033","volume":"151","author":"Q Cheng","year":"2015","unstructured":"Cheng Q, Cao J (2015) Synchronization of complex dynamic networks with discrete time delays on time scales. Neurocomputing 151(P2):729\u2013736","journal-title":"Neurocomputing"},{"key":"10428_CR6","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.neucom.2018.05.058","volume":"312","author":"YL Huang","year":"2018","unstructured":"Huang YL, Chen WZ, Wang JM (2018) Finite-time passivity of delayed multi-weighted complex dynamic networks with different dimensional nodes. Neurocomputing 312:74\u201389","journal-title":"Neurocomputing"},{"key":"10428_CR7","doi-asserted-by":"publisher","first-page":"104","DOI":"10.1016\/j.nahs.2019.02.005","volume":"33","author":"Z Huang","year":"2019","unstructured":"Huang Z, Cao J, Li J, Bin H (2019) Quasi-synchronization of neural networks with parameter mismatches and delayed impulsive controller on time scales. Nonlinear Anal Hybrid Syst 33:104\u2013115","journal-title":"Nonlinear Anal Hybrid Syst"},{"key":"10428_CR8","doi-asserted-by":"publisher","first-page":"8823","DOI":"10.1016\/j.jfranklin.2020.06.008","volume":"357","author":"LJ Gao","year":"2020","unstructured":"Gao LJ, Cao ZB, Zhang M, Zhu QX (2020) Input-to-state stability for hybrid delayed systems with admissible edge-dependent switching signals. J Frankl Inst 357:8823\u20138850","journal-title":"J Frankl Inst"},{"key":"10428_CR9","unstructured":"Kong F (2020) Pinning synchronization of nonlinearly coupled complex dynamic networks on time scales. Adv Math Sci 1\u201312, A.ID: 8057294"},{"key":"10428_CR10","doi-asserted-by":"publisher","unstructured":"Kong FC, Zhu QX, Huang TW (2020) New fixed-time stability lemmas and applications to the discontinuous fuzzy inertial neural networks. IEEE Trans Fuzzy Syst. https:\/\/doi.org\/10.1109\/TFUZZ.2020.3026030","DOI":"10.1109\/TFUZZ.2020.3026030"},{"key":"10428_CR11","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/j.neucom.2020.09.014","volume":"422","author":"FC Kong","year":"2021","unstructured":"Kong FC, Zhu QX, Sakthivel R, Mohammadzadeh A (2021) Fixed-time synchronization analysis for discontinuous fuzzy inertial neural networks with parameter uncertainties. Neurocomputing 422:295","journal-title":"Neurocomputing"},{"key":"10428_CR12","unstructured":"Kong FC, Zhu QX (2020) New fixed-time synchronization control of discontinuous inertial neural networks via indefinite Lyapunov\u2013Krasovskii functional method. Int J Robust Nonlinear Control 31:471\u2013495"},{"issue":"118","key":"10428_CR13","first-page":"1","volume":"39","author":"M Liu","year":"2020","unstructured":"Liu M, Wu H, Zhao W (2020) Event-triggered stochastic synchronization in finite time for delayed semi-Markovian jump neural networks with discontinuous activations. Comput Appl Math 39(118):1\u201347","journal-title":"Comput Appl Math"},{"issue":"2","key":"10428_CR14","first-page":"210","volume":"26","author":"G Liu","year":"2018","unstructured":"Liu G, Luo Y, Shu L (2018) Asymptotic synchronization of complex dynamic networks with time-varying delays on time scales. Eng Lett 26(2):210\u2013215","journal-title":"Eng Lett"},{"key":"10428_CR15","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.automatica.2016.06.001","volume":"72","author":"X Liu","year":"2016","unstructured":"Liu X, Zhang K (2016) Synchronization of linear dynamic networks on time scales: pinning control via delayed impulses. Automatica 72:147\u2013152","journal-title":"Automatica"},{"issue":"3","key":"10428_CR16","doi-asserted-by":"publisher","first-page":"2481","DOI":"10.1007\/s11063-020-10204-z","volume":"51","author":"X Lu","year":"2020","unstructured":"Lu X, Li H (2020) Distributed pinning impulsive control for inner\u2013outer synchronization of dynamic networks on time scales. Neural Process Lett 51(3):2481\u20132495","journal-title":"Neural Process Lett"},{"key":"10428_CR17","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/j.neucom.2016.07.031","volume":"216","author":"X Lu","year":"2016","unstructured":"Lu X, Wang Y, Zhao Y (2016) Synchronization of complex dynamic networks on time scales via Wirtinger-based inequality. Neurocomputing 216:143\u2013149","journal-title":"Neurocomputing"},{"issue":"105400","key":"10428_CR18","first-page":"1007","volume":"90","author":"J Liu","year":"2020","unstructured":"Liu J, Wu H, Cao J (2020) Event-triggered synchronization in fixed time for semi-Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity. Commun Nonlinear Sci Numer Simul 90(105400):1007\u20135704","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10428_CR19","doi-asserted-by":"publisher","first-page":"1250","DOI":"10.1016\/j.neucom.2017.09.073","volume":"275","author":"SH Qiu","year":"2018","unstructured":"Qiu SH, Huang YL, Ren SY (2018) Finite-time synchronization of multi-weighted complex dynamic networks with and without coupling delay. Neurocomputing 275:1250\u20131260","journal-title":"Neurocomputing"},{"key":"10428_CR20","doi-asserted-by":"publisher","first-page":"104759","DOI":"10.1016\/j.sysconle.2020.104759","volume":"144","author":"WJ Ma","year":"2020","unstructured":"Ma WJ, Luo XH, Zhu QX (2020) Practical exponential stability of stochastic age-dependent capital system with L\u00e9vy noise. Syst Control Lett 144:104759","journal-title":"Syst Control Lett"},{"issue":"7","key":"10428_CR21","doi-asserted-by":"publisher","first-page":"2123","DOI":"10.1109\/TNNLS.2018.2876726","volume":"30","author":"X Peng","year":"2019","unstructured":"Peng X, Wu H, Cao J (2019) Global Non-fragile synchronization in finite time for fractional-order discontinuous neural networks with nonlinear growth activations. IEEE Trans Neural Netw Learn Syst 30(7):2123\u20132137","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"10428_CR22","first-page":"1","volume":"97","author":"A Pratap","year":"2020","unstructured":"Pratap A, Raja R, Cao J (2020) Finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks. Adv Differ Equ 97:1\u201324","journal-title":"Adv Differ Equ"},{"issue":"10","key":"10428_CR23","doi-asserted-by":"publisher","first-page":"6223","DOI":"10.1002\/mma.6367","volume":"43","author":"A Pratap","year":"2020","unstructured":"Pratap A, Raja R, Alzabut J, Cao J, Rajchakit G, Huang C (2020) Mittag\u2013Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field. Math Methods Appl Sci 43(10):6223\u20136253","journal-title":"Math Methods Appl Sci"},{"issue":"1","key":"10428_CR24","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1002\/asjc.2075","volume":"22","author":"A Pratap","year":"2020","unstructured":"Pratap A, Raja R, Sowmiya C, Bagdasar O, Cao J, Rajchakit G (2020) Global projective lag synchronization of fractional order memristor based BAM neural networks with mixed time varying delays. Asian J Control 22(1):570\u2013583","journal-title":"Asian J Control"},{"key":"10428_CR25","doi-asserted-by":"publisher","first-page":"2453","DOI":"10.1007\/s11063-019-10188-5","volume":"51","author":"A Pratap","year":"2020","unstructured":"Pratap A, Raja R, Agarwal RP, Bagdasar O, Cao J (2020) Multi-weighted complex structure on fractional order coupled neural networks with linear coupling delay: a robust synchronization problem. Neural Process Lett 51:2453\u20132479","journal-title":"Neural Process Lett"},{"issue":"18","key":"10428_CR26","doi-asserted-by":"publisher","first-page":"13637","DOI":"10.1016\/j.jfranklin.2020.10.018","volume":"357","author":"T Saravanakumar","year":"2020","unstructured":"Saravanakumar T, Muoi NH, Zhu QX (2020) Finite-time sampled-data control of switched stochastic model with non-deterministic actuator faults and saturation nonlinearity. J Frankl Inst 357(18):13637\u201313665","journal-title":"J Frankl Inst"},{"key":"10428_CR27","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1002\/rnc.5275","volume":"31","author":"R Song","year":"2020","unstructured":"Song R, Wang B, Zhu Q (2020) Delay-dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays. Int J Robust Nonlinear Control 31:250\u2013267","journal-title":"Int J Robust Nonlinear Control"},{"key":"10428_CR28","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1016\/j.amc.2016.06.046","volume":"291","author":"M Syed Ali","year":"2016","unstructured":"Syed Ali M, Yogambigai J (2016) Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms. Appl Math Comput 291:244\u2013258","journal-title":"Appl Math Comput"},{"key":"10428_CR29","doi-asserted-by":"crossref","unstructured":"Syed Ali M, Usha M, Zhu Q, Shanmugam S (2020) Synchronization analysis for stochastic T-S fuzzy complex networks with Markovian jumping parameters and mixed time-varying delays via impulsive control. Math Probl Eng 27: Article ID 9739876","DOI":"10.1155\/2020\/9739876"},{"key":"10428_CR30","doi-asserted-by":"publisher","first-page":"1233","DOI":"10.1007\/s11063-020-10301-z","volume":"52","author":"M Syed Ali","year":"2020","unstructured":"Syed Ali M, Usha M, Alsaedi A (2020) Synchronization of stochastic complex dynamical networks with mixed time-varying coupling delays. Neural Process Lett 52:1233\u20131250","journal-title":"Neural Process Lett"},{"key":"10428_CR31","doi-asserted-by":"publisher","first-page":"105215","DOI":"10.1016\/j.cnsns.2020.105215","volume":"85","author":"J Yogambigai","year":"2020","unstructured":"Yogambigai J, Syed Ali M, Alsulami H, Alhodaly MS (2020) Impulsive and pinning control synchronization of Markovian jumping complex dynamical networks with hybrid coupling and additive interval time-varying delays. Commun Nonlinear Sci Numer Simul 85:105215","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10428_CR32","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1016\/j.neunet.2019.02.004","volume":"114","author":"M Syed Ali","year":"2019","unstructured":"Syed Ali M, Usha M, Orman Z, Arik S (2019) Improved result on state estimation for complex dynamical networks with time varying delays and stochastic sampling via sampled-data control. Neural Netw 114:28\u201337","journal-title":"Neural Netw"},{"key":"10428_CR33","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/j.amc.2018.01.029","volume":"328","author":"L Wang","year":"2018","unstructured":"Wang L, Huang T, Xiao Q (2018) Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales. Appl Math Comput 328:263\u2013275","journal-title":"Appl Math Comput"},{"key":"10428_CR34","doi-asserted-by":"publisher","first-page":"958","DOI":"10.1016\/j.neucom.2017.09.037","volume":"275","author":"XX Zhang","year":"2018","unstructured":"Zhang XX, Wang JL, Huang YL, Ren SY (2018) Analysis and pinning control for passivity of multi-weighted complex dynamic networks with fixed and switching topologies. Neurocomputing 275:958\u2013968","journal-title":"Neurocomputing"},{"key":"10428_CR35","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1186\/s13662-018-1666-z","volume":"2018","author":"W Zhao","year":"2018","unstructured":"Zhao W, Wu H (2018) Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays. Adv Differ Equ 2018:213","journal-title":"Adv Differ Equ"},{"key":"10428_CR36","doi-asserted-by":"publisher","unstructured":"Y Zhang, H Wu, J Cao (2020) Group consensus in finite time for fractional multi-agent systems with discontinuous inherent dynamics subject to H\u00f6lder growth. IEEE Trans Cybern. https:\/\/doi.org\/10.1109\/TCYB.2020.3023704","DOI":"10.1109\/TCYB.2020.3023704"},{"issue":"18","key":"10428_CR37","doi-asserted-by":"publisher","first-page":"8278","DOI":"10.1002\/rnc.5240","volume":"30","author":"M Zhang","year":"2020","unstructured":"Zhang M, Zhu Q (2020) Stability analysis for switched stochastic delayed systems under asynchronous switching: a relaxed switching signal. Int J Robust Nonlinear Control 30(18):8278\u20138298","journal-title":"Int J Robust Nonlinear Control"}],"container-title":["Neural Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-021-10428-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11063-021-10428-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-021-10428-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T01:45:02Z","timestamp":1698630302000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11063-021-10428-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2,8]]},"references-count":37,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["10428"],"URL":"https:\/\/doi.org\/10.1007\/s11063-021-10428-7","relation":{},"ISSN":["1370-4621","1573-773X"],"issn-type":[{"value":"1370-4621","type":"print"},{"value":"1573-773X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,2,8]]},"assertion":[{"value":"8 January 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 February 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}