Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple discrete and distributed time-varying delays

M. Syed Ali1, P. Balasubramaniam1
1Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamil Nadu, India

Tài liệu tham khảo

Chua, 1988, Cellular neural networks: theory, IEEE Trans Circuits Syst, 35, 1257, 10.1109/31.7600 Chua, 1988, Cellular neural networks: applications, IEEE Trans Circuits Syst, 35, 1273, 10.1109/31.7601 Yang, 1996, The global stability of fuzzy cellular neural net networks, IEEE Trans Circuits Syst, 43, 880, 10.1109/81.538999 Arik, 2002, An improved global stability result for delayed cellular neural networks, IEEE Trans Circuits Syst I, 49, 1211, 10.1109/TCSI.2002.801264 Arik, 2000, On the global asymptotic stability of delayed cellular neural networks, IEEE Trans Circuits Syst I, 47, 571, 10.1109/81.841859 Wang, 2006, A new detection algorithm (NDA) based on fuzzy cellular neural networks for white blood cell detection, IEEE Trans Inform Technol Biomed, 10, 5, 10.1109/TITB.2005.855545 Wang, 2007, Advanced fuzzy cellular neural network: application to CT liver images, Artif Intell Med, 39, 65, 10.1016/j.artmed.2006.08.001 Wang, 2007, Applying the improved fuzzy cellular neural network IFCNN to white blood cell detection, Neurocomputing, 70, 1348, 10.1016/j.neucom.2006.07.012 Yang T, Yang L,Wu CW, Chua LO. Fuzzy cellular neural networks: theory. In: Proceedings of IEEE International Workshop Cellular Neural Network and Applications, 1996. p. 181–86. Yang T, Yang L, Wu CW, Chua LO. Fuzzy cellular neural networks: applications. In: Proceedings of IEEE International Workshop Cellular Neural Network and Applications, 1996. p. 225–30. Huang, 2006, Exponential stability of fuzzy cellular neural networks with distributed delay, Phys Lett A, 351, 48, 10.1016/j.physleta.2005.10.060 Huang, 2007, Exponential stability of delayed fuzzy cellular neural networks with diffusion, Chaos Solitons Fractals, 31, 658, 10.1016/j.chaos.2005.10.015 Liu, 2004, Exponential stability of fuzzy cellular neural networks with constant and time-varying delays, Phys Lett A, 323, 224, 10.1016/j.physleta.2004.01.064 Yuan, 2006, Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays, Neurocomputing, 69, 1619, 10.1016/j.neucom.2005.05.011 Hu, 2004, Stochastic Hopfield neural networks, J Phys A: Math Gen, 9, 47 Mao, 1998, Robust stability of uncertain stochastic delay differential equations, Syst Contr Lett, 35, 325, 10.1016/S0167-6911(98)00080-2 Syed Ali, 2008, Robust stability of uncertian stochastic fuzzy BAM neural networks with time varying delay, Phys Lett A, 372, 5159, 10.1016/j.physleta.2008.05.067 Wang, 2006, Robust stability for stochastic Hopfield neurarl networks with time delays, Nonlinear Anal Real World Appl, 7, 1119, 10.1016/j.nonrwa.2005.10.004 Takagi, 1985, Fuzzy identification of systems and its applications to modeling and control, IEEE Trans Syst Man, Cybern, 15, 16 Cao, 2001, Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi–Sugeno fuzzy models, Fuzzy Sets Syst, 124, 213, 10.1016/S0165-0114(00)00120-2 Takagi, 1993, Stability analysis andd esign of fuzzy control systems, Fuzzy Sets Syst, 45, 135 Han, 2008, An improved fuzzy neural network based on TS model, Expert Syst Appl, 34, 2905, 10.1016/j.eswa.2007.05.020 Hou, 2007, Stability analysis of Takagi–Sugeno fuzzy cellular neural networks with time varying delays, IEEE Trans Syst Man Cybrn, Part B, 37, 720, 10.1109/TSMCB.2006.889628 Huang, 2005, Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays, IEEE Trans Circuits Syst II, Exp Briefs, 52, 251, 10.1109/TCSII.2005.846305 Lou, 2007, Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays, Fuzzy Sets Syst, 158, 2746, 10.1016/j.fss.2007.07.015 Syed Ali, 2009, Robust stability of uncertain fuzzy Cohen Grossberg BAM neural networks with time-varying delays, Expert Syst Appl, 36, 10583, 10.1016/j.eswa.2009.02.058 Cao, 2000, Analysis and synthesis of nonlinear time delay systems via fuzzy control approach, IEEE Trans Fuzzy Syst, 8, 200, 10.1109/91.842153 Gahinet P, Nemirovski A, Laub A, Chilali M. LMI control toolbox user’s guide, Massachusetts, The Mathworks, 1995. Gu K. An integral inequality in the stability problem of time-delay systems. In: Proceedings of the 39th IEEE conference on Decision and Control, Sydney, Australia, 2000. p. 2805–10. Huang, 2007, Exponential stability analysis of uncertain stochastic neural networks with multiple delays, Nonlinear Anal Real World Appl, 8, 646, 10.1016/j.nonrwa.2006.02.003 Gao, 2009, Global robust stability of neural networks with multiple discrete delays and distributed delays, Chaos Solitons Fractals, 40, 1823, 10.1016/j.chaos.2007.09.065