Improved asymptotic stability conditions for neural networks with discrete and distributed delays

References

• Arik, S. , 2003. Global asymptotic stability of a larger class of delayed cellular neural networks with constant delay , Phys. Lett. A 311 (6) (2003), pp. 504–511.
   Web of Science ®Google Scholar
• Arik, S. , and Tavsanogl, V. , 2000. On the global asymptotic stability of delayed cellular neural networks , IEEE Trans. Circuits Syst. I 47 (4) (2000), pp. 571–574.
   Google Scholar
• Balasubramaniam, P. , and Rakkiyappan, R. , 2009. Delay-dependent robust stability analysis of uncertain stochastic neural networks with discrete interval and distributed time-varying delays , Neurocomputing 72 (13–15) (2009), pp. 3231–3237.
   Web of Science ®Google Scholar
• Cao, J. , 1999. On stability of delayed cellular neural networks , Phys. Lett. A 261 (5–6) (1999), pp. 303–308.
   Web of Science ®Google Scholar
• Cao, J. , and Zhou, D. , 1998. Stability analysis of delayed cellular neural networks , Neural Netw. 11 (9) (1998), pp. 1601–1605.
   PubMed Web of Science ®Google Scholar
• Carpenter, G. A. , 1989. Neural network models for pattern recognition and associative memory , Neural Netw. 2 (4) (1989), pp. 243–257.
   Web of Science ®Google Scholar
• Chen, Y. , Li, W. , and Bi, W. , 2009. Improved results on passivity analysis of uncertain neural networks with time-varying discrete and distributed delays , Neural Proc. Lett. 30 (2) (2009), pp. 155–169.
   Web of Science ®Google Scholar
• Ensari, T. , and Arik, S. , 2005. Global stability of class of neural networks with time varying delays , IEEE Trans. Circuits Syst. II, Exp. Briefs 52 (3) (2005), pp. 126–130.
   Web of Science ®Google Scholar
• Fang, S. , Jiang, M. , and Wang, X. , 2009. Exponential convergence estimates for neural networks with discrete and distributed delays , Nonlinear Anal. Real World Appl. 10 (2) (2009), pp. 702–714.
   Web of Science ®Google Scholar
• Funabiki, N. , and Takefuji, Y. , 1992. A neural network parallel algorithm for channel assignment problems in cellular radio networks , IEEE Trans. Veh. Tech. 41 (4) (1992), pp. 430–437.
   Web of Science ®Google Scholar
• Gao, M. , and Cui, B. , 2009. Global robust stability of neural networks with multiple discrete delays and distributed delays , Chaos, Solitons Fractals 40 (4) (2009), pp. 1823–1834.
   Web of Science ®Google Scholar
• Gu, K. , 2000. An Integral Inequality in the Stability Problem of Time-Delay Systems . Sydney, Australia. 2000. pp. 2805–2810, Proceedings of the 39th IEEE Conference Decision Control.
   Google Scholar
• He, Y. , Liu, G. P. , Rees, D. , and Wu, M. , 2007. Stability analysis for neural networks with time-varying interval delay , IEEE Trans. Neural Netw. 6 (18) (2007), pp. 1850–1854.
   Google Scholar
• He, Y. , Liu, G. P. , and Rees, D. , 2007. New delay-dependent stability criteria for neural networks with time-varying delay , IEEE Trans. Neural Netw. 18 (1) (2007), pp. 310–314.
   PubMed Web of Science ®Google Scholar
• Kwon, O. M. , and Park, J. H. , 2008. New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays , Appl. Math. Comput. 205 (1) (2008), pp. 417–427.
   Web of Science ®Google Scholar
• Kwon, O. M. , and Park, J. H. , 2008. Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays , J. Franklin Inst. 345 (7) (2008), pp. 766–778.
   Web of Science ®Google Scholar
• Li, H. , Chen, B. , Lin, C. , and Zhou, Q. , 2009. Mean square exponential stability of stochastic fuzzy Hopfield neural networks with discrete and distributed time-varying delays , Neurocomputing 72 (7–9) (2009), pp. 2017–2023.
   Web of Science ®Google Scholar
• Li, T. , Guo, L. , and Lin, C. , 2008. Stability criteria with less LMI variables for neural networks with time-varying delay , IEEE Trans. Circuits Syst. II, Exp. Briefs 55 (11) (2008), pp. 1188–1192.
   Web of Science ®Google Scholar
• Li, X. , Balasubramaniam, P. , and Rakkiyappan, R. , 2011. Stability results for stochastic bidirectional associative memory neural networks with multiple discrete and distributed time-varying delays , Int. J. Comput. Math. 88 (7) (2011), pp. 1358–1372.
   Web of Science ®Google Scholar
• Liao, X. , Chen, G. , and Sanchez, E. N. , 2002. LMI-based approach for asymptotically stability analysis of delayed neural networks , IEEE Trans. Circuits Syst. I 49 (7) (2002), pp. 1033–1039.
   Google Scholar
• Lien, C.-H. , and Chung, L.-Y. , 2007. Global asymptotic stability for cellular neural networks with discrete and distributed time-varying delays , Chaos, Solitons Fractals 34 (4) (2007), pp. 1213–1219.
   Web of Science ®Google Scholar
• Lippmann, R. P. , 1989. Pattern classification using neural networks , IEEE Commun. Mag. 27 (11) (1989), pp. 47–50, 59–64.
   Web of Science ®Google Scholar
• Liu, Y. , Wang, Z. , and Liu, X. , 2006. Global exponential stability of generalized recurrent neural networks with discrete and distributed delays , Neural Netw. 19 (5) (2006), pp. 667–675.
   PubMed Web of Science ®Google Scholar
• Liu, Y. , Wang, Z. , and Liu, X. , 2007. Design of exponential state estimators for neural networks with mixed time delays , Phys. Lett. A 364 (5) (2007), pp. 401–412.
   Web of Science ®Google Scholar
• Marcus, C. M. , and Westervelt, R. M. , 1989. Stability of analog neural networks with delay , Phys. Rev. A 39 (1) (1989), pp. 347–359.
   PubMed Web of Science ®Google Scholar
• Park, J. H. , 2006. On global stability criterion for neural networks with discrete and distributed delays , Chaos, Solitons Fractals 30 (4) (2006), pp. 897–902.
   Web of Science ®Google Scholar
• Park, J. H. , 2007. An analysis of global robust stability of uncertain cellular neural networks with discrete and distributed delays , Chaos, Solitons Fractals 32 (2) (2007), pp. 800–807.
   Web of Science ®Google Scholar
• Qian, W. , Li, T. , Cong, S. , and Fei, S. , 2010. Improved stability analysis on delayed neural networks with linear fractional uncertainties , Appl. Math. Comput. 217 (7) (2010), pp. 3596–3606.
   Web of Science ®Google Scholar
• Rakkiyappan, R. , Balasubramaniam, P. , and Lakshmanan, S. , 2008. Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays , Phys. Lett. A 372 (32) (2008), pp. 5290–5298.
   Web of Science ®Google Scholar
• Ruan, S. , and Filfil, R. S. , 2004. Dynamics of a two-neuron system with discrete and distributed delays , Physica D 191 (3–4) (2004), pp. 323–342.
   Web of Science ®Google Scholar
• Shao, H. , 2008. Improved delay-dependent globally asymptotic stability criteria for neural networks with a constant delay , IEEE Trans. Circuits Syst. II, Exp. Briefs 55 (10) (2008), pp. 1071–1075.
   Web of Science ®Google Scholar
• Singh, V. , 2006. Simplifed LMI condition for global asymptotic stability of delayed neural networks , Chaos, Solitons Fractals 29 (2) (2006), pp. 470–473.
   Web of Science ®Google Scholar
• Song, Q. , 2009. Design of controller on synchronization of chaotic neural networks with mixed time-varying delays , Neurocomputing 72 (13–15) (2009), pp. 3288–3295.
   Web of Science ®Google Scholar
• Song, Q. , and Wang, Z. , 2008. Neural networks with discrete and distributed time-varying delays: A general stability analysis , Chaos, Solitons Fractals 37 (5) (2008), pp. 1538–1547.
   Web of Science ®Google Scholar
• Sun, J. , Liu, G. P. , and Chen, J. , 2009. Delay-dependent stability and stabilization of neutral time-delay systems , Int. J. Robust Nonlinear Control 19 (1) (2009), pp. 1364–1375.
   Web of Science ®Google Scholar
• Tank, D. W. , and Hopfield, J. J. , 1987. Neural computation by concentrating information in time , Proc. Natl. Acad. Sci. 84 (7) (1987), pp. 1896–1990.
   PubMed Web of Science ®Google Scholar
• Tian, J. , and Zhong, S. , 2011. New delay-dependent exponential stability criteria for neural networks with discrete and distributed time-varying delays , Neurocomputing 74 (17) (2011), pp. 3365–3375.
   Web of Science ®Google Scholar
• Wang, H. , and Song, Q. , 2010. State estimation for neural networks with mixed interval time-varying delays , Neurocomputing 73 (7–9) (2010), pp. 1281–1288.
   Web of Science ®Google Scholar
• Wang, Z. , Liu, Y. , and Liu, X. , 2005. On global asymptotic stability of neural networks with discrete and distributed delays , Phys. Lett. A 345 (4–6) (2005), pp. 299–308.
   Web of Science ®Google Scholar
• Wang, Z. , Liu, Y. , Li, M. , and Liu, X. , 2006. Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays , IEEE Trans. Neural Netw. 17 (3) (2006), pp. 814–820.
   PubMed Web of Science ®Google Scholar
• Wang, Z. , Shu, H. , Liu, Y. , Ho, D. W.C. , and Liu, X. , 2006. Robust stability analysis of generalized neural networks with discrete and distributed time delays , Chaos, Solitons Fractals 30 (4) (2006), pp. 886–896.
   Web of Science ®Google Scholar
• Xia, Y. , and Wang, J. , 2000. Global exponential stability of recurrent neural networks for solving optimization and related problems , IEEE Trans. Neural Netw. 11 (4) (2000), pp. 1017–1022.
   PubMed Web of Science ®Google Scholar
• Yang, R. , Zhang, Z. , and Shi, P. , 2010. Exponential stability on stochastic neural networks with discrete interval and distributed delays , IEEE Trans. Neural Netw. 21 (1) (2010), pp. 169–175.
   PubMed Web of Science ®Google Scholar
• Ye, H. , Michel, A. N. , and Wang, K. , 1994. Global stability and local stability of Hopfield neural networks with delays , Phys. Rev. E 50 (5) (1994), pp. 4206–4213.
   PubMed Web of Science ®Google Scholar
• Zhang, J. , and Jin, X. , 2000. Global stability analysis in delayed Hopfield neural network models , Neural Netw. 13 (7) (2000), pp. 745–753.
   PubMed Web of Science ®Google Scholar
• Zhang, H. , Liu, Z. , Huang, G.-B. , and Wang, Z. , 2010. Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay , IEEE Trans. Neural Netw. 21 (1) (2010), pp. 91–106.
   PubMed Web of Science ®Google Scholar
• Zhu, X. , and Wang, Y. , 2009. Delay-dependent exponential stability for neural networks with discrete and distributed time-varying delays , Phys. Lett. A 373 (44) (2009), pp. 4066–4072.
   Web of Science ®Google Scholar