{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T06:22:49Z","timestamp":1762323769784,"version":"3.40.4"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2014,10,29]],"date-time":"2014-10-29T00:00:00Z","timestamp":1414540800000},"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":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1007\/s13042-014-0306-5","type":"journal-article","created":{"date-parts":[[2014,10,28]],"date-time":"2014-10-28T12:04:53Z","timestamp":1414497893000},"page":"1005-1022","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Robust stability analysis of uncertain genetic regulatory networks with mixed time delays"],"prefix":"10.1007","volume":"7","author":[{"given":"Xiaowei","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ruoxia","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Han","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rong","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,10,29]]},"reference":[{"key":"306_CR1","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1002\/cplx.6130010612","volume":"1","author":"R Somogyi","year":"1996","unstructured":"Somogyi R, Sniegoski C (1996) Modeling the complexity of genetic networks: understanding multigenic and pleiotropic regulation. Complexity 1:45\u201363","journal-title":"Complexity"},{"key":"306_CR2","first-page":"113","volume":"4","author":"DC Weaver","year":"1999","unstructured":"Weaver DC, Workman CT, Storm GD (1999) Modeling regulatory networks with weight matrices. Proc Pac Symp Biocomput 4:113\u2013123","journal-title":"Proc Pac Symp Biocomput"},{"key":"306_CR3","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1089\/10665270252833208","volume":"9","author":"H Jong","year":"2002","unstructured":"Jong H (2002) Modeling and simulation of genetic regulatory systems. J Comput Biol 9:67\u2013103","journal-title":"J Comput Biol"},{"key":"306_CR4","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1109\/TCSI.2002.1001949","volume":"49","author":"L Chen","year":"2002","unstructured":"Chen L, Aihara K (2002) Stability of genetic regulatory networks with time delay. IEEE Trans Circuits Syst I 49:602\u2013608","journal-title":"IEEE Trans Circuits Syst I"},{"key":"306_CR5","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/S0896-6273(00)81194-0","volume":"26","author":"P Smolen","year":"2000","unstructured":"Smolen P, Baxter DA, Byrne JH (2000) Mathematical modeling of gene networks review. Neuron 26:567\u2013580","journal-title":"Neuron"},{"key":"306_CR6","doi-asserted-by":"crossref","first-page":"2523","DOI":"10.1016\/j.eswa.2010.08.041","volume":"38","author":"Y Tang","year":"2011","unstructured":"Tang Y, Wang Z, Fang J (2011) Parameters identification of unknown delayed genetic regulatory networks by a switching particle swarm optimization al gorithm. Expert Syst Appl 38:2523\u20132535","journal-title":"Expert Syst Appl"},{"issue":"1","key":"306_CR7","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s13042-013-0165-5","volume":"5","author":"C Zheng","year":"2014","unstructured":"Zheng C, Zhang Y, Wang Z (2014) Stability analysis of stochastic reaction-diffusion neural networks with Markovian switching and time delays in the leakage terms. Int J Mach Learn Cybern 5(1):3\u201312","journal-title":"Int J Mach Learn Cybern"},{"issue":"1","key":"306_CR8","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s13042-013-0186-0","volume":"5","author":"Q He","year":"2014","unstructured":"He Q, Liu D, Wu H, Ding S (2014) Robust exponential stability analysis for interval Cohen-Grossberg type BAM neural networks with mixed time delays. Int J Mach Learn Cybern 5(1):23\u201338","journal-title":"Int J Mach Learn Cybern"},{"key":"306_CR9","doi-asserted-by":"crossref","first-page":"3040","DOI":"10.1016\/j.cnsns.2011.11.012","volume":"17","author":"Q Gan","year":"2012","unstructured":"Gan Q (2012) Adaptive synchronization of Cohen-Grossberg neural networks with unknown parameters and mixed time-varying delays. Commun Nonlinear Sci Numer Simulat 17:3040\u20133049","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"key":"306_CR10","doi-asserted-by":"publisher","unstructured":"Liu D, Du Y (2014) New results of stability analysis for a class of neutral-type neural network with mixed time delays. Int J Mach Learn Cybern. doi: 10.1007\/s13042-014-0302-9","DOI":"10.1007\/s13042-014-0302-9"},{"key":"306_CR11","doi-asserted-by":"publisher","unstructured":"Wu H, Li R, Wei H, Zhang X, Yao R (2014) Synchronization of a class of memristive neural networks with time delays via sampled-data control. Int J Mach Learn Cybern. doi: 10.1007\/s13042-014-0271-z","DOI":"10.1007\/s13042-014-0271-z"},{"key":"306_CR12","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1109\/TCSI.2011.2163969","volume":"59","author":"X Yang","year":"2012","unstructured":"Yang X, Cao J, Lu J (2012) Stochastic synchronization of complex networks with nonidentical nodes via hybrid adaptive and impulsive control. IEEE Trans Circuits Syst 59:371\u2013384","journal-title":"IEEE Trans Circuits Syst"},{"key":"306_CR13","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.mbs.2010.08.012","volume":"228","author":"W Pan","year":"2010","unstructured":"Pan W, Wang Z, Gao H (2010) On multistability of delayed genetic regulatory networks with multivariable regulation functions. Math Biosci 228:100\u2013109","journal-title":"Math Biosci"},{"issue":"4","key":"306_CR14","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1109\/TBCAS.2011.2124459","volume":"5","author":"F Wu","year":"2011","unstructured":"Wu F (2011) Global and robust stability analysis of genetic regulatory networks with time-varying delays and parameter uncertainties. IEEE Trans Biomed Circuits Syst 5(4):391\u2013398","journal-title":"IEEE Trans Biomed Circuits Syst"},{"issue":"11","key":"306_CR15","doi-asserted-by":"crossref","first-page":"2451","DOI":"10.1109\/TCSI.2006.883882","volume":"53","author":"C Li","year":"2006","unstructured":"Li C, Chen L, Aihara K (2006) Stability of genetic networks with SUM regulatory logic: Lure system and linear matrix inequality approach. IEEE Trans Circuits Syst Regul Pap 53(11):2451\u20132458","journal-title":"IEEE Trans Circuits Syst Regul Pap"},{"key":"306_CR16","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1038\/nature01410","volume":"421","author":"L Hood","year":"2003","unstructured":"Hood L, Galas D (2003) The digital code of DNA. Nature 421:444\u2013448","journal-title":"Nature"},{"key":"306_CR17","doi-asserted-by":"crossref","first-page":"590","DOI":"10.1038\/35014651","volume":"405","author":"A Becskei","year":"2000","unstructured":"Becskei A, Serrano L (2000) Engineering stability in gene networks by autoregulation. Nature 405:590\u2013593","journal-title":"Nature"},{"key":"306_CR18","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1016\/j.neucom.2007.03.011","volume":"71","author":"F Ren","year":"2008","unstructured":"Ren F, Cao J (2008) Asympotic and robust stability of genetic regulatory networks with time-varying delays. Neurocomputing 71:834\u2013842","journal-title":"Neurocomputing"},{"key":"306_CR19","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1038\/35002131","volume":"403","author":"T Gardner","year":"2000","unstructured":"Gardner T, Cantor C, Collins J (2000) Construction of a genetic toggle switch in Escherichia coli. Nature 403:339\u2013342","journal-title":"Nature"},{"key":"306_CR20","first-page":"1478","volume":"3","author":"C Li","year":"2006","unstructured":"Li C, Chen L, Aihara K (2006) Synchronization of coupled nonidentical genetic oscillators. Phys Biol 3:1478\u20133975","journal-title":"Phys Biol"},{"key":"306_CR21","doi-asserted-by":"crossref","first-page":"7210","DOI":"10.1016\/j.amc.2011.02.010","volume":"217","author":"W Zhang","year":"2011","unstructured":"Zhang W, Fang J, Tang Y (2011) Stochastic stability of Markovian jumping genetic regulatory networks with mixed time delays. Appl Math Comput 217:7210\u20137225","journal-title":"Appl Math Comput"},{"key":"306_CR22","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1016\/j.mbs.2009.03.010","volume":"220","author":"Y Wang","year":"2009","unstructured":"Wang Y, Ma Z, Shen J, Liu Z, Chen L (2009) Periodic oscillation in delayed gene networks with SUM regulatory logic and small perturbations. Math Biosci 220:34","journal-title":"Math Biosci"},{"key":"306_CR23","doi-asserted-by":"crossref","first-page":"928","DOI":"10.1016\/j.cnsns.2010.04.035","volume":"16","author":"P Balasubramaniam","year":"2011","unstructured":"Balasubramaniam P, Sathy R (2011) Robust asymptotic stability of fuzzy Markovian jumping genetic regulatory networks with time-varying delays by delay decomposition approach. Commun Nonlinear Sci Numer Simulat 16:928\u2013939","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"key":"306_CR24","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1016\/j.nahs.2010.03.007","volume":"4","author":"R Rakkiyappan","year":"2010","unstructured":"Rakkiyappan R, Balasubramaniam P (2010) Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory netw orks with mixed time-varying delays: an LMI approach. Nonlinear Anal Hybrid Syst 4:600\u2013607","journal-title":"Nonlinear Anal Hybrid Syst"},{"key":"306_CR25","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1016\/j.chaos.2012.03.006","volume":"45","author":"W Wang","year":"2012","unstructured":"Wang W, Zhong S, Liu F (2012) Robust filtering of uncertain stochastic genetic regulatory networks with time-varying delays. Chaos, Solitons & Fractals 45:915\u2013929","journal-title":"Chaos, Solitons & Fractals"},{"key":"306_CR26","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.neucom.2012.03.014","volume":"93","author":"W Wang","year":"2012","unstructured":"Wang W, Zhong S, Liu F (2012) New delay-dependent stability criteria for uncertain genetic regulatory networks with time-varying delays. Neurocomputing 93:19\u201326","journal-title":"Neurocomputing"},{"key":"306_CR27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/1752-0509-1-1","volume":"1","author":"C Li","year":"2007","unstructured":"Li C, Chen L, Aihara K (2007) Stochastic synchronization of genetic oscillator networks. BMC Syst Biol 1:1\u201311","journal-title":"BMC Syst Biol"},{"key":"306_CR28","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/j.mbs.2013.05.003","volume":"244","author":"V Vembarasan","year":"2013","unstructured":"Vembarasan V, Nagamani G, Balasubramaniam P (2013) State estimation for delayed genetic regulatory networks based on passivity theory. Math Biosci 244:165\u2013175","journal-title":"Math Biosci"},{"key":"306_CR29","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1016\/j.neucom.2013.06.015","volume":"122","author":"P Balasubramaniam","year":"2013","unstructured":"Balasubramaniam P, Jarina Banu L (2013) Robust state estimation for discrete-time genetic regulatory network with random delays. Neurocomputing 122:349\u2013369","journal-title":"Neurocomputing"},{"key":"306_CR30","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.neucom.2011.10.023","volume":"82","author":"W Wang","year":"2012","unstructured":"Wang W, Zhong S (2012) Stochastic analysis of uncertain genetic regulatory networks with mixed time-varying delays. Neurocomputing 82:143\u2013156","journal-title":"Neurocomputing"},{"key":"306_CR31","doi-asserted-by":"crossref","unstructured":"Wang W, Nguang S, Zhong S, Liu F (2013) Robust stability analysis of stochastic delayed genetic regulatory networks with polytopic uncertainties and linear fractional parametric uncertainties. Commun Nonlinear Sci Numer Simulat","DOI":"10.1016\/j.cnsns.2013.09.008"},{"key":"306_CR32","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1016\/j.neucom.2009.10.006","volume":"73","author":"X Lou","year":"2010","unstructured":"Lou X, Ye Q, Cui B (2010) Exponential stability of genetic regulatory networks with random delays. Neurocomputing 73:759\u2013769","journal-title":"Neurocomputing"},{"key":"306_CR33","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.mbs.2010.04.002","volume":"226","author":"P Balasubramaniam","year":"2010","unstructured":"Balasubramaniam P, Rakkiyappan R, Krishnasamy R (2010) Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays. Math Biosci 226:97\u2013108","journal-title":"Math Biosci"},{"key":"306_CR34","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1080\/00207720903141434","volume":"41","author":"J Liang","year":"2010","unstructured":"Liang J, Lam J (2010) Robust state estimation for stochastic genetic regulatory networks. Int J Syst Sci 41:47\u201363","journal-title":"Int J Syst Sci"},{"key":"306_CR35","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1016\/j.isatra.2013.01.003","volume":"52","author":"P Liu","year":"2013","unstructured":"Liu P (2013) Robust stability analysis of genetic regulatory network with time delays. ISA Trans 52:326\u2013334","journal-title":"ISA Trans"},{"key":"306_CR36","doi-asserted-by":"crossref","first-page":"3597","DOI":"10.1016\/j.cnsns.2011.12.024","volume":"17","author":"W Wang","year":"2012","unstructured":"Wang W, Zhong S (2012) Delay-dependent stability criteria for genetic regulatory networks with time-varying delays and nonlinear disturbance. Commun Nonlinear Sci Numer Simulat 17:3597\u20133611","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"key":"306_CR37","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/j.neucom.2013.04.034","volume":"121","author":"W Wang","year":"2013","unstructured":"Wang W, Zhong S, Nguang SK, Liu F (2013) Novel delay-dependent stability criterion for uncertain genetic regulatory networks with interval time-varying delays. Neurocomputing 121:170\u2013178","journal-title":"Neurocomputing"},{"key":"306_CR38","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.fss.2010.10.010","volume":"164","author":"P Balasubramaniam","year":"2011","unstructured":"Balasubramaniam P, Sathy R, Rakkiyappan R (2011) A delay decomposition approach to fuzzy Markovian jumping genetic regulatory networks with time-varying delays. Fuzzy Sets Syst 164:82\u2013100","journal-title":"Fuzzy Sets Syst"},{"key":"306_CR39","unstructured":"Cu K (2000) An integral inequality in the stability problem of time delay systems. In: Proceedings of the 39th IEEE Conference on Decision Control, p 2805\u20132810"},{"key":"306_CR40","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/j.automatica.2010.10.014","volume":"47","author":"P Park","year":"2011","unstructured":"Park P, Ko JW, Jeong CK (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47:235\u2013238","journal-title":"Automatica"},{"key":"306_CR41","unstructured":"Boyd S, El Ghaoui L, Feron E, Balakrishnan V Linear matrix inequalities in system and control theory. Society for Industrial and Applied Mathematics, Philadelphia"},{"key":"306_CR42","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.ins.2004.07.015","volume":"174","author":"S Zhou","year":"2005","unstructured":"Zhou S, Feng G, Lam J, Xu S (2005) Robust $$H_\\infty $$ H \u221e control for discrete-time fuzzy systems via basis-dependent Lyapunov functions. Inf Sci 174:197\u2013217","journal-title":"Inf Sci"},{"key":"306_CR43","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.neucom.2012.12.016","volume":"111","author":"S Lakshmanan","year":"2013","unstructured":"Lakshmanan S, Parka JH, Jung HY, Kwon OM, Rakkiyappan R (2013) A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays. Neurocomputing 111:81\u201389","journal-title":"Neurocomputing"},{"key":"306_CR44","doi-asserted-by":"crossref","first-page":"3263","DOI":"10.1016\/j.neucom.2009.02.003","volume":"72","author":"H Wu","year":"2009","unstructured":"Wu H, Liao X, Guo S, Feng W, Wang Z (2009) Stochastic stability for uncertain genetic regulatory network s with interval time-varying delays. Neurocomputing 72:3263\u20133276","journal-title":"Neurocomputing"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-014-0306-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-014-0306-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-014-0306-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-014-0306-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T17:42:50Z","timestamp":1746466970000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-014-0306-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,29]]},"references-count":44,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2016,12]]}},"alternative-id":["306"],"URL":"https:\/\/doi.org\/10.1007\/s13042-014-0306-5","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"type":"print","value":"1868-8071"},{"type":"electronic","value":"1868-808X"}],"subject":[],"published":{"date-parts":[[2014,10,29]]}}}