**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31584

##### Analysis of Periodic Solution of Delay Fuzzy BAM Neural Networks

**Authors:**
Qianhong Zhang,
Lihui Yang,
Daixi Liao

**Abstract:**

**Keywords:**
Fuzzy BAM neural networks,
Periodic solution,
Global exponential stability,
Time-varying delays

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1056042

**References:**

[1] B. Kosto, Adaptive bi-directional associative memories, Appl. Opt. 26 (1987) 4947-4960.

[2] B. Kosto, Bi-directional associative memories, IEEE Trans.Syst. Man Cybernet.18(1988)49-60.

[3] B. Kosto, Neural Networks and Fuzzy Systems:A Dynamical Systems Approach to Machine Intelligence, Prentice-Hall, Englewood Cliffs, NJ, 1992,38.

[4] K. Gopalsmy and X. Z. He, Delay-independent stability in bi-directional associative memory networks, IEEE Trans. Neural Networks 5 (1994) 998-1002.

[5] J. Cao and L. Wang, Periodic oscillatory solution of bidirectional associative memory networks with delays, Phys. Rev. E 61 (2000) 1825-1828.

[6] B. Liu and L. Huang, Global exponential stability of BAM neural networks with recent-history distributed delays and impulse, Neurocomputing 69 (2006) 2090-2096.

[7] J. Cao and L. Wang, Exponential stability and periodic oscilatory solution in BAM networks with delays, IEEE Trans. Neural Networks 13 (2002) 457-463.

[8] H. Zhao, Global exponential stability of bidirectional associative memory neural networks with distributed delays, Phys. Lett. A 297 (2002) 182- 190.

[9] J. Zhang and Y. Yang, Global stability analysis of bidirectional associative memory neural networks with time delay, Int.J.Ciruit Theor.Appl.29(2001)185-196.

[10] X. F. Liao, K.W. Wong and S. Z. Yang, Convergence dynamics of hybrid bidirectional associative memory neural networks with distributed delays, Phys. Lett. A 316 (2003) 55-64.

[11] X. F. Liao and J. B. Yu, Qualitative analysis of bi-directional associative memory with time delay, Int. J. Circ. Theory Appl. 26(1998)219-229.

[12] J. Cao and Q. Jiang, An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays, Phys. Lett. A 330 (2004) 203-213.

[13] A. Chen, J. Cao and L. Huang, Exponential stability of BAM neural networks with transmission delays, Neurocomputing 57 (2004) 435-454.

[14] A. Chen, L. Huang, J. Cao, Existence and stability of almost periodic solution for BAM neural networks with delays, Appl. Math. Comput. 137 (2003) 177-193.

[15] A. Chen, L. Huang, Z. Liu and J. Cao, Periodic bidirectional associative memory neural networks with distributed delays, Journal of Math. Analys. and Appl. 317 (2006) 80-102.

[16] Z. Liu, A. Chen, J. Cao and L. Huang, Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays, Phys. Lett. A 319 (2003) 305-316.

[17] S. J. Guo, L. H. Huang, B. X. Dai and Z. Z. Zhang, Global existence of periodic solutions of BAM neural networks with variable coefficients, Phys. Lett. A 317(2003) 97-106.

[18] J. Cao, A set of stability criteria for delayed cellular neural networks, IEEE Trans. Circuits Systems I 48 (4) (2001) 494-498.

[19] J. Cao, Global stability conditions for delayed CNNs, IEEE Trans. Circuits Systems I 48(2001) 1330-1333.

[20] J. Cao and J. Wang, Global asymptotic stability of general class of recurrent neural networks with time-varying delays, IEEE Trans. Circuits Systems I 50 (2003)34-44.

[21] J. Cao, New results concerning exponential stability and periodic solutions of delayed cellular neural networks, Phys. Lett. A 307 (2003) 136-147.

[22] J. Cao and J. Wang, Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays, Neural Networks 17 (2004) 379-390.

[23] J. Cao and J. Wang, Global exponential stability and periodicity of recurrent neural networks with time delays, IEEE Trans. Circuits Systems I 52 (2005)920-931.

[24] J. Cao and D. W. C. Ho, A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach, Chaos Solitons Fractals 24 (2005) 1317-1329.

[25] J. Cao, D. Huang and Y. Qu, Global robust stability of delayed recurrent neural networks , Chaos Solitons Fractals 23 (2005)221-=229.

[26] Q. Song, Z. Zhao and Y. Li, Global exponential stability of BAM neural networks with distributed delays and reactionCdiffusion terms, Phys Lett. A 335(2005)213-225.

[27] T. Yang and L. B. Yang, The global stability of fuzzy cellular neural networks, IEEE Trans. Circ. Syst. I 43(1996)880-883.

[28] T. Yang,L. B.Yang.,C. W.Wu and L. O.Chua, Fuzzy cellular neural networks: theory, Proc. IEEE Int Workshop Cellular Neural Networks Appl.(1996) 181-186.

[29] T. Yang, L. Yang,C. Wu, L. Chua, Fuzzy cellular neural networks: applications, Proc. IEEE Int. Workshop on Cellular Neural Neworks Appl. (1996)225-230.

[30] T. Huang, Exponential stability of fuzzy cellular neural networks with distributed delay, Phys. Lett. A 351(2006) 48-52.

[31] T. Huang, Exponential stability of delayed fuzzy cellular neural networks with diffusion, Chaos Solitons Fractals 31 (2007) 658-664.

[32] Q. Zhang and R. Xiang, Global asymptotic stability of fuzzy cellular neural networks with time-varying delays, Phy. Lett. A 371 (2008) 3971-3977.

[33] Q. Zhang and W. Luo, Global Exponential Stability and Periodic Solutions of FCNNs with Constant Delays and Time-varying Delays, Proceeding of 2009 International Joint Conference on Computational Sciences and Optimization, Volume 2,659-662.

[34] Y. Wu and Q. Zhang, Global Exponential Stability of Fuzzy Cellular Neural Networks with Variable Delays and Distributed Delays, Proceeding of the 6th Conference of Biomathematics,2008, 695-699.

[35] K. Yuan,J. Cao and J. Deng, Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays, Neurocomputing 69 (2006) 1619-1627.

[36] J. Cao and Q. Jiang, An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays, Physics Lett. A 330(2004)203-213.