In this paper, by using Mawhin-s continuation theorem of coincidence degree and a method based on delay differential inequality, some sufficient conditions are obtained for the existence and global exponential stability of periodic solutions of cellular neural networks with distributed delays and impulses on time scales. The results of this paper generalized previously known results.<\/p>\r\n","references":"[1] J. Cao, New results concerning exponential stability and periodic solutions\r\nof delayed cellular neural networks with delays, Phys Lett A 307 (2003)\r\n136-147.\r\n[2] Y. Li, S. Gao, Global Exponential Stability for Impulsive BAM Neural\r\nNetworks with Distributed Delays on Time Scales, Neural Processing\r\nLetters 31 (1) (2010) 65-91.\r\n[3] Z. Liu and A. Chen, Existence and global exponential stability of periodic\r\nsolutions of cellular neural networks with time-vary delays, J. Math Anal.\r\nAppl. 290 (2004) 247-262.\r\n[4] Y. Li, Existence and stability of periodic solutions for Cohen\u252c\u00bfCGrossberg\r\nneural networks with multiple delays. Chaos, Solitons & Fractals 20\r\n(2004) 459-466.\r\n[5] Y. Li, P. Liu, Existence and stability of positive periodic solution for BAM\r\nneural networks with delays, Math Comput Model 40 (2004) 757-770.\r\n[6] Y. Li, C. Liu, L. Zhu, Global exponential stability of periodic solution for\r\nshunting inhibitory CNNs with delays. Phys Lett A 337 (2005) 46-54.\r\n[7] Y. Li, T. Zhang, Global exponential stability of fuzzy internal delayed\r\nneural networks with impulses on time scales, Int. J. Neural Syst.19 (6)\r\n(2009) 449-456.\r\n[8] Y. Chen, Global stability of neural networks with distributed delays,\r\nNeural Networks 15 (2002) 867-871.\r\n[9] C. Feng, R. Plamondon, On the stability analysis of delayed neural\r\nnetworks systems, Neural Networks 14 (2011) 1181-1188.\r\n[10] J. Zhang, Globally exponential stability of neural networks with variables\r\ndelays. IEEE Trans Circuit Syst-I 50 (2003) 288-291.\r\n[11] Y. Li, Global exponential stability of BAM neural networks with delays\r\nand impulses, Chaos, Solitons & Fractals 24 (2005) 279-285.\r\n[12] Y. Ren, Y. Li, Periodic solutions of recurrent neural networks with\r\ndistributed delays and impulses on time scales, Int. J. Comp. Math. Sci.\r\n5 (2011) 209-218.\r\n[13] Z. Guan, L. James, G. Chen, On impulsive auto-associative neural\r\nnetworks, Neural Networks 13 (2000) 63-69.\r\n[14] Y. Li, W. Xing, L. Lu, Existence and global exponential stability of\r\nperiodic solution of a class of neural networks with impulses, Chaos,\r\nSolitons & Fractals 27 (2006) 437-445.\r\n[15] Y. Li, W. Xing, Existence and global exponential stability of periodic\r\nsolution of CNNs with impulses, Chaos, Solitons & Fractals 33 (2007)\r\n1686-1693.\r\n[16] R. Gains, J. Mawhin, Coincidence degree and nonlinear differential\r\nequations, Springer-Verlag, Berlin, 1977.\r\n[17] H. Tokumarn, N. Adachi, T. Amemiya, Macroscopic stability of interconnected\r\nsystems, 6th IFAC Congress, paper ID44.4, 1975, 1-7.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 60, 2011"}