Somogyi R, Sniegoski C (1996) Modeling the complexity of genetic networks: understanding multigenic and pleiotropic regulation. Complexity 1:45–63
Weaver DC, Workman CT, Storm GD (1999) Modeling regulatory networks with weight matrices. Proc Pac Symp Biocomput 4:113–123
Jong H (2002) Modeling and simulation of genetic regulatory systems. J Comput Biol 9:67–103
Chen L, Aihara K (2002) Stability of genetic regulatory networks with time delay. IEEE Trans Circuits Syst I 49:602–608
Smolen P, Baxter DA, Byrne JH (2000) Mathematical modeling of gene networks review. Neuron 26:567–580
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 38:2523–2535
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):3–12
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):23–38
Gan Q (2012) Adaptive synchronization of Cohen-Grossberg neural networks with unknown parameters and mixed time-varying delays. Commun Nonlinear Sci Numer Simulat 17:3040–3049
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
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
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 59:371–384
Pan W, Wang Z, Gao H (2010) On multistability of delayed genetic regulatory networks with multivariable regulation functions. Math Biosci 228:100–109
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):391–398
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):2451–2458
Hood L, Galas D (2003) The digital code of DNA. Nature 421:444–448
Becskei A, Serrano L (2000) Engineering stability in gene networks by autoregulation. Nature 405:590–593
Ren F, Cao J (2008) Asympotic and robust stability of genetic regulatory networks with time-varying delays. Neurocomputing 71:834–842
Gardner T, Cantor C, Collins J (2000) Construction of a genetic toggle switch in Escherichia coli. Nature 403:339–342
Li C, Chen L, Aihara K (2006) Synchronization of coupled nonidentical genetic oscillators. Phys Biol 3:1478–3975
Zhang W, Fang J, Tang Y (2011) Stochastic stability of Markovian jumping genetic regulatory networks with mixed time delays. Appl Math Comput 217:7210–7225
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
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 16:928–939
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 4:600–607
Wang W, Zhong S, Liu F (2012) Robust filtering of uncertain stochastic genetic regulatory networks with time-varying delays. Chaos, Solitons & Fractals 45:915–929
Wang W, Zhong S, Liu F (2012) New delay-dependent stability criteria for uncertain genetic regulatory networks with time-varying delays. Neurocomputing 93:19–26
Li C, Chen L, Aihara K (2007) Stochastic synchronization of genetic oscillator networks. BMC Syst Biol 1:1–11
Vembarasan V, Nagamani G, Balasubramaniam P (2013) State estimation for delayed genetic regulatory networks based on passivity theory. Math Biosci 244:165–175
Balasubramaniam P, Jarina Banu L (2013) Robust state estimation for discrete-time genetic regulatory network with random delays. Neurocomputing 122:349–369
Wang W, Zhong S (2012) Stochastic analysis of uncertain genetic regulatory networks with mixed time-varying delays. Neurocomputing 82:143–156
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
Lou X, Ye Q, Cui B (2010) Exponential stability of genetic regulatory networks with random delays. Neurocomputing 73:759–769
Balasubramaniam P, Rakkiyappan R, Krishnasamy R (2010) Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays. Math Biosci 226:97–108
Liang J, Lam J (2010) Robust state estimation for stochastic genetic regulatory networks. Int J Syst Sci 41:47–63
Liu P (2013) Robust stability analysis of genetic regulatory network with time delays. ISA Trans 52:326–334
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 17:3597–3611
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 121:170–178
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 164:82–100
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 2805–2810
Park P, Ko JW, Jeong CK (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47:235–238
Boyd S, El Ghaoui L, Feron E, Balakrishnan V Linear matrix inequalities in system and control theory. Society for Industrial and Applied Mathematics, Philadelphia
Zhou S, Feng G, Lam J, Xu S (2005) Robust \(H_\infty \) control for discrete-time fuzzy systems via basis-dependent Lyapunov functions. Inf Sci 174:197–217
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 111:81–89
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 72:3263–3276