{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T16:38:38Z","timestamp":1776357518507,"version":"3.51.2"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,8,17]],"date-time":"2014-08-17T00:00:00Z","timestamp":1408233600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Process Lett"],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1007\/s11063-014-9377-2","type":"journal-article","created":{"date-parts":[[2014,8,16]],"date-time":"2014-08-16T13:28:37Z","timestamp":1408195717000},"page":"619-632","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":54,"title":["Delay-Dependent Exponential Synchronization of Recurrent Neural Networks with Multiple Proportional Delays"],"prefix":"10.1007","volume":"42","author":[{"given":"Liqun","family":"Zhou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,8,17]]},"reference":[{"issue":"8","key":"9377_CR1","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1103\/PhysRevLett.64.821","volume":"64","author":"LM Pecora","year":"1990","unstructured":"Pecora LM, Carroll TL (1990) Synchronization in chaotic system. Phys Rev Lett 64(8):821\u2013824","journal-title":"Phys Rev Lett"},{"issue":"1","key":"9377_CR2","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/S0960-0779(02)00585-4","volume":"18","author":"M Feki","year":"2003","unstructured":"Feki M (2003) An adaptive chaos synchronization scheme applied to secure communication. Chaos Solitons Fract 18(1):141\u2013148","journal-title":"Chaos Solitons Fract"},{"issue":"4","key":"9377_CR3","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1016\/j.chaos.2004.09.096","volume":"24","author":"M Chen","year":"2005","unstructured":"Chen M, Zhou D, Shang Y (2005) A new observer-based synchronization scheme for private communication. Chaos Solitons Fract 24(4):1025\u20131030","journal-title":"Chaos Solitons Fract"},{"issue":"34","key":"9377_CR4","doi-asserted-by":"crossref","first-page":"3441","DOI":"10.1016\/j.physleta.2010.06.064","volume":"374","author":"YH Xu","year":"2010","unstructured":"Xu YH, Zhou WN, Fang JA, Sun W (2010) Adaptive lag synchronization and parameters adaptive lag identification of chaotic system. Phys Lett A 374(34):3441\u20133446","journal-title":"Phys Lett A"},{"issue":"2","key":"9377_CR5","doi-asserted-by":"crossref","first-page":"840","DOI":"10.1016\/j.nonrwa.2011.08.020","volume":"13","author":"ZY Ye","year":"2012","unstructured":"Ye ZY, Deng CB (2012) Adaptive synchronization to a general non-autonomous chaotic system and its applications. Nonlinear Anal 13(2):840\u2013849","journal-title":"Nonlinear Anal"},{"issue":"1\u20132","key":"9377_CR6","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.apm.2012.02.018","volume":"37","author":"S Cheng","year":"2013","unstructured":"Cheng S, Ji JC, Zhou J (2013) Fast synchronization of directionally coupled chaotic systems. Appl Math Model 37(1\u20132):127\u2013136","journal-title":"Appl Math Model"},{"issue":"1","key":"9377_CR7","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.physleta.2005.01.082","volume":"338","author":"LP Chen","year":"2012","unstructured":"Chen LP, Chai Y, Wu RC, Ma TD (2012) Cluster synchronization in fractional-order complex dynamical networks. Phys Lett A 338(1):28\u201335","journal-title":"Phys Lett A"},{"issue":"4","key":"9377_CR8","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1016\/j.chaos.2005.04.022","volume":"27","author":"J Zhou","year":"2006","unstructured":"Zhou J, Chen T, Jiang L (2006) Robust synchronization of delayed neural networks based on adaptive control and parameters identification. Chaos Solitons Fract 27(4):905\u2013913","journal-title":"Chaos Solitons Fract"},{"issue":"1","key":"9377_CR9","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1109\/TSMCB.2005.856144","volume":"36","author":"CJ Cheng","year":"2006","unstructured":"Cheng CJ, Liao TL, Yan JJ, Hwang CC (2006) Exponential synchronization of a class of neural networks with time-varying delays. IEEE Trans Syst Man Cybern B 36(1):209\u2013215","journal-title":"IEEE Trans Syst Man Cybern B"},{"issue":"5","key":"9377_CR10","doi-asserted-by":"crossref","first-page":"1314","DOI":"10.1109\/TSMCB.2008.925745","volume":"38","author":"YR Liu","year":"2008","unstructured":"Liu YR, Wang ZD, Liang JL, Liu XH (2008) Synchronization and state estimation for discrete-time complex networks with distributed delays. IEEE Trans Syst Man Cybern B 38(5):1314\u20131325","journal-title":"IEEE Trans Syst Man Cybern B"},{"issue":"6","key":"9377_CR11","doi-asserted-by":"crossref","first-page":"1980","DOI":"10.1016\/j.na.2006.07.048","volume":"67","author":"JS Lin","year":"2007","unstructured":"Lin JS, Hung ML, Yan JJ, Liao TL (2007) Decentralized control for synchronization of delayed neural netwoks subject to dead-zone nonlinearity. Nonlinear Anal 67(6):1980\u20131987","journal-title":"Nonlinear Anal"},{"issue":"8","key":"9377_CR12","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.1080\/00207160701636436","volume":"85","author":"YR Liu","year":"2008","unstructured":"Liu YR, Wang ZD, Liu XH (2008) On synchronization of coupled neural networks with discrete and unbounded distributed delays. Int J Comput Math 85(8):1299\u20131313","journal-title":"Int J Comput Math"},{"issue":"4","key":"9377_CR13","doi-asserted-by":"crossref","first-page":"982","DOI":"10.1016\/j.physa.2007.10.010","volume":"387","author":"T Li","year":"2008","unstructured":"Li T, Fei SM, Zhang KJ (2008) Synchronization control of recurrent neural networks with distributed delays. Phys A 387(4):982\u2013996","journal-title":"Phys A"},{"issue":"1","key":"9377_CR14","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1016\/j.chaos.2007.01.100","volume":"39","author":"B Cui","year":"2009","unstructured":"Cui B, Lou X (2009) Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control. Chaos Solitons Fract 39(1):288\u2013294","journal-title":"Chaos Solitons Fract"},{"issue":"3","key":"9377_CR15","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1109\/TSMCB.2009.2030506","volume":"40","author":"HG Zhang","year":"2010","unstructured":"Zhang HG, Wa TD, Huang GB, Wang ZL (2010) Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Trans Syst Man Cybern B 40(3):831\u2013844","journal-title":"IEEE Trans Syst Man Cybern B"},{"issue":"5\u20136","key":"9377_CR16","first-page":"643","volume":"52","author":"XD Li","year":"2010","unstructured":"Li XD, Bohner M (2010) Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. Math Comput Model 52(5\u20136):643\u2013653","journal-title":"Math Comput Model"},{"issue":"2","key":"9377_CR17","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1109\/TNN.2010.2101081","volume":"22","author":"J Lu","year":"2011","unstructured":"Lu J, Ho DW, Cao J, Kurths J (2011) Exponential synchronization of linearly coupled neural networks with impulsive disturbances. IEEE Trans Neural Netw 22(2):329\u201336","journal-title":"IEEE Trans Neural Netw"},{"issue":"1","key":"9377_CR18","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1162\/NECO_a_00191","volume":"24","author":"JJ Tu","year":"2012","unstructured":"Tu JJ, He HL (2012) Guaranteed cost synchronization of chaotic cellular neural networks with time-varying delay. Neural Comput 24(1):217\u2013233","journal-title":"Neural Comput"},{"issue":"3","key":"9377_CR19","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1007\/s11063-012-9254-9","volume":"37","author":"Q Gan","year":"2013","unstructured":"Gan Q (2013) Exponential synchronization of stochastic fuzzy cellular neural networks with reaction-diffusion terms via periodically intermittent control. Neural Process Lett 37(3):393\u2013410","journal-title":"Neural Process Lett"},{"key":"9377_CR20","doi-asserted-by":"crossref","unstructured":"Song Q, Cao J (2011) Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays. Adv Differ Equ 16. doi: 10.1186\/1687-1847-2011-16","DOI":"10.1186\/1687-1847-2011-16"},{"issue":"4","key":"9377_CR21","doi-asserted-by":"crossref","first-page":"2313","DOI":"10.1007\/s11071-013-0942-4","volume":"73","author":"XS Yang","year":"2013","unstructured":"Yang XS, Wu ZY, Cao J (2013) Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Nonlinear Dyn 73(4):2313\u20132327","journal-title":"Nonlinear Dyn"},{"issue":"3","key":"9377_CR22","first-page":"220","volume":"15","author":"CC Fang","year":"2013","unstructured":"Fang CC, Sun M, Li DD, Han D (2013) Asymptotically synchronization of a class of chaotic delayed neural networks with impulsive effects via intermittent control. Int J Nonlinear Sci 15(3):220\u2013227","journal-title":"Int J Nonlinear Sci"},{"issue":"9","key":"9377_CR23","first-page":"3503","volume":"9","author":"HQ Wu","year":"2013","unstructured":"Wu HQ, Guo XQ, Ding SB, Wang LL, Zhang LY (2013) Exponential synchronization for switched coupled neural networks via intermittent control. J Comput Inform Syst 9(9):3503\u20133510","journal-title":"J Comput Inform Syst"},{"issue":"2","key":"9377_CR24","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1007\/s12555-012-0221-z","volume":"10","author":"YH Xu","year":"2012","unstructured":"Xu YH, Zhou WN, Fang JA (2012) Adaptive synchronization of the complex dynamical network with double non-delayed and double delayed coupling. Int J Control Autom Syst 10(2):415\u2013420","journal-title":"Int J Control Autom Syst"},{"issue":"1","key":"9377_CR25","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.physleta.2005.01.082","volume":"338","author":"CJ Cheng","year":"2005","unstructured":"Cheng CJ, Liao TL, Yan JJ, Hwang CC (2005) Synchronization of neural networks by decentralized feedback control. Phys Lett A 338(1):28\u201335","journal-title":"Phys Lett A"},{"key":"9377_CR26","unstructured":"Chen Y, Hamdi M, Tsang DHK (2001) Proportional QoS over OBS networks. In: Proceedings of Globecom 3:1510\u20131514"},{"issue":"6","key":"9377_CR27","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1109\/MCOM.2003.1204748","volume":"41","author":"Y Chen","year":"2003","unstructured":"Chen Y, Qiao C (2003) Proportional differentiation: a scalable QoS approach. IEEE Commun Mag 41(6):52\u201358","journal-title":"IEEE Commun Mag"},{"issue":"18","key":"9377_CR28","doi-asserted-by":"crossref","first-page":"3679","DOI":"10.1016\/j.comcom.2006.06.009","volume":"29","author":"J Wei","year":"2006","unstructured":"Wei J, Xu C, Zhou X, Li Q (2006) A robust packet scheduling algorithm for proportional delay differentiation services. Comput Commun 29(18):3679\u20133690","journal-title":"Comput Commun"},{"issue":"4","key":"9377_CR29","doi-asserted-by":"crossref","first-page":"904","DOI":"10.1016\/j.comcom.2006.10.008","volume":"304","author":"SK Tan","year":"2007","unstructured":"Tan SK, Mohan G, Chua KC (2007) Feed back-based offset time selection for end-to-end proportion QoS provising in WDM optical burst switching networks. Comput Commun 304(4):904\u2013921","journal-title":"Comput Commun"},{"issue":"5","key":"9377_CR30","first-page":"25","volume":"12","author":"J Agarkhed","year":"2012","unstructured":"Agarkhed J, Biradar GS, Mytri VD (2012) Energy efficient QoS routing in multi-sink wireless multimedia sensor networks. IJCSNS Int J Comput Sci Netw Sec 12(5):25\u201331","journal-title":"IJCSNS Int J Comput Sci Netw Sec"},{"issue":"3","key":"9377_CR31","first-page":"285","volume":"2","author":"S Kulkarm","year":"2012","unstructured":"Kulkarm S, Sharma R, Mishra I (2012) New QoS routing algorithm for MPLS networks using delay and bandwidth constrainst. Int J Inform Commun Technol Res 2(3):285\u2013293","journal-title":"Int J Inform Commun Technol Res"},{"key":"9377_CR32","first-page":"343","volume":"3498","author":"J Liu","year":"2005","unstructured":"Liu J, Yuan DF, Ci S, Zhong YJ (2005) Anew QoS routing optimal algorithm in mobile Ad Hoc network basked on Hopfield neural network. Adv Neural Netw 3498:343\u2013348","journal-title":"Adv Neural Netw"},{"issue":"4","key":"9377_CR33","first-page":"471","volume":"9","author":"R Gargi","year":"2012","unstructured":"Gargi R, Chaba Y, Patel RB (2012) Improving the performance of dynamic source routing protocal by optimization of neural networks. IJCSI Int J Comput Sci Issue 9(4):471\u2013479","journal-title":"IJCSI Int J Comput Sci Issue"},{"issue":"3","key":"9377_CR34","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/s11063-012-9271-8","volume":"38","author":"L Zhou","year":"2013","unstructured":"Zhou L (2013) Delay-dependent exponential stability of cellular neural networks with multi-proportional delays. Neural Process Lett 38(3):347\u2013359","journal-title":"Neural Process Lett"},{"issue":"3","key":"9377_CR35","doi-asserted-by":"crossref","first-page":"1895","DOI":"10.1007\/s11071-013-0912-x","volume":"73","author":"L Zhou","year":"2013","unstructured":"Zhou L (2013) Dissipativity of a class of cellular neural networks with proportional delays. Nonlinear Dyn 73(3):1895\u20131903","journal-title":"Nonlinear Dyn"},{"issue":"1","key":"9377_CR36","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1006\/jmaa.1997.5262","volume":"207","author":"A Iserles","year":"1997","unstructured":"Iserles A (1997) On neural functional-differential equation with proportional delays. J Math Anal Appl 207(1):73\u201395","journal-title":"J Math Anal Appl"},{"issue":"1","key":"9377_CR37","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1017\/S0956792500002163","volume":"7","author":"YK Liu","year":"1996","unstructured":"Liu YK (1996) Asymptotic behavior of functional differential equations with proportional time delays. Eur J Appl Math 7(1):11\u201330","journal-title":"Eur J Appl Math"},{"issue":"2","key":"9377_CR38","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1016\/j.jmaa.2004.03.019","volume":"295","author":"B Van","year":"2004","unstructured":"Van B, Marshall JC, Wake GC (2004) Holomorphic solutions to pantograph type equations with neural fixed points. J Math Anal Appl 295(2):557\u2013569","journal-title":"J Math Anal Appl"},{"key":"9377_CR39","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1016\/j.amc.2013.12.061","volume":"229","author":"L Zhou","year":"2014","unstructured":"Zhou L, Chen X, Yang Y (2014) Asymptotic stability of cellular neural networks with multi-proportional delays. Appl Math Comput 229:457\u2013466","journal-title":"Appl Math Comput"},{"issue":"1","key":"9377_CR40","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s11071-014-1271-y","volume":"77","author":"L Zhou","year":"2014","unstructured":"Zhou L (2014) Global asymptotic stability of cellular neural networks with proportional delays. Nonlinear Dyn 77(1):41\u201347","journal-title":"Nonlinear Dyn"}],"container-title":["Neural Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-014-9377-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11063-014-9377-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-014-9377-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,13]],"date-time":"2019-08-13T22:26:12Z","timestamp":1565735172000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11063-014-9377-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,8,17]]},"references-count":40,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["9377"],"URL":"https:\/\/doi.org\/10.1007\/s11063-014-9377-2","relation":{},"ISSN":["1370-4621","1573-773X"],"issn-type":[{"value":"1370-4621","type":"print"},{"value":"1573-773X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,8,17]]}}}