Otwarty dostęp

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays


Zacytuj

Arik, S. and Tavsanoglu, V. (2005). Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays, Neurocomputing 68: 161-176.10.1016/j.neucom.2004.12.002Search in Google Scholar

Cao, J. (2003). Global asympotic stability of delayed bi-directional associative memory neural networks, Applied Mathematics and Computation 142(2): 333-339.10.1016/S0096-3003(02)00308-9Search in Google Scholar

Cao, J. and Dong, M. (2003). Exponential stability of delayed bi-directional associative memory neural networks, Applied Mathematics and Computation 135(1): 105-112.10.1016/S0096-3003(01)00315-0Search in Google Scholar

Cao, J. and Wang, L. (2002). Exponential stability and periodic oscilatory solution in BAM networks with delays, IEEE Transactions on Neural Networks 13(2): 457-463.10.1109/72.991431Search in Google Scholar

Chen, A., Cao, J. and Huang, L. (2004). Exponential stability of BAM neural networks with transmission delays, Neurocomputing 57: 435-454.10.1016/j.neucom.2003.10.015Search in Google Scholar

Gaines, R. E. and Mawhin, J. L. (1990). Coincidence Degree and Nolinear Differential Equations, Springer-Verlag, Berlin/New York, NY.Search in Google Scholar

Gopalsmy, K. and He, X. Z. (1994). Delay-independent stability in bi-directional associative memory networks, IEEE Transactions on Neural Networks 5(6.): 998-1002.Search in Google Scholar

Huang, T. (2006). Exponential stability of fuzzy cellular neural networks with distributed delay, Physics Letters A 351(1): 48-52.10.1016/j.physleta.2005.10.060Search in Google Scholar

Kosto, B. (1987). Adaptive bi-directional associative memories, Applied Optics 26(23): 4947-4960.10.1364/AO.26.004947Search in Google Scholar

Kosto, B. (1988). Bi-directional associative memories, IEEE Transactions on Systems, Man, and Cybernetics 18(1): 49-60.10.1109/21.87054Search in Google Scholar

Liao, X. F. and Yu, J. B. (1998). Qualitative analysis of bi-directional associative memory with time delay, International Journal of Circuit Theory and Applications 26(3): 219-229.10.1002/(SICI)1097-007X(199805/06)26:3<219::AID-CTA991>3.0.CO;2-ISearch in Google Scholar

Liu, B. W. and Huang, L. H. (2006). Existence and exponential stability of periodic solutions for cellular neural networks with time-varying delays, Physics Letters A 349(6): 474-483.10.1016/j.physleta.2005.09.064Search in Google Scholar

Liu, Y. Q. and Tang, W. S. (2004). Exponential stability of fuzzy cellular neural networks with costant and time-varying delays, Physics Letters A 323(3): 224-233.10.1016/j.physleta.2004.01.064Search in Google Scholar

Liu, Y. Q. and Tang, W. S. (2006). Existence and exponential stability of periodic solution for bam neural networks with periodic coefficients and delays, Neurocomputing 69(16): 2152-2160.10.1016/j.neucom.2005.08.008Search in Google Scholar

Liu, Z., Chen, A. and Huang, L. (2003). Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays, Physics Letters A 328(2): 127-143.10.1016/j.physleta.2004.05.055Search in Google Scholar

Liu, Z., Zhang, H. and Wang, Z. (2009). Novel stability criterions of a new fuzzy cellular neural networks with time-varying delays, Neurocomputing 72(4): 1056-1064.10.1016/j.neucom.2008.04.001Search in Google Scholar

Niu, S., Jiang, H. and Teng, Z. (2008). Exponential stability and periodic solutions of FCNNs with variable coefficients and time-varying delays, Neurocomputing 71(13): 2929-2936.10.1016/j.neucom.2007.07.004Search in Google Scholar

Raja, R., Sakthivel, R., Anthoni, S. M. and Kim, H. (2011). Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays, International Journal of Applied Mathematics and Computer Science 21(1): 127-135, DOI: 10.2478/v10006-011-0009-y.10.2478/v10006-011-0009-ySearch in Google Scholar

Tian, A., Gai, M., Shi, B. and Zhang, Q. (2010). Existence and exponential stability of periodic solution for a class of Cohen-Grossberg-type BAM neural networks, Neurocomputing 73(16): 3147-3159.10.1016/j.neucom.2010.06.011Search in Google Scholar

Wang, Z., Zhang, H. and Yu, W. (2007). Robust exponential stability analysis of neural networks with multiple time delays, Neurocomputing 70(13): 2534-2543.10.1016/j.neucom.2006.07.014Search in Google Scholar

Yang, T. and Yang, L. B. (1996). The global stability of fuzzy cellular neural networks, IEEE Transactions on Circuits and Systems 1: Fundamental Theory and Applications 43(10): 880-883.10.1109/81.538999Search in Google Scholar

Yang, T., Yang, L. B., Wu, C. W. and Chua, L. O. (1996). Fuzzy cellular neural networks: Theory, 4th IEEE International Workshop on Cellular Neural Networks and Their Applications, Seville, Spain, pp. 181-186.Search in Google Scholar

Yuan, K., Cao, J. and Deng, J. (2006). Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays, Neurocomputing 69(13): 1619-1627.10.1016/j.neucom.2005.05.011Search in Google Scholar

Zhang, Q. and Luo, W. (2009). Global exponential stability of fuzzy BAM neural networks with time-varying delays, Chaos, Solitons and Fractals 42(4): 2239-2245.10.1016/j.chaos.2009.03.116Search in Google Scholar

Zhang, Q. and Xiang, R. (2008). Global asymptotic stability of fuzzy cellular neural networks with time-varying delays, Physics Letters A 372(22): 3971-3978.10.1016/j.physleta.2008.01.063Search in Google Scholar

Zhao, H. (2002). Global exponential stability of bidirectional associative memory neural networks with distributed delays, Physics Letters A 297(3): 182-190.10.1016/S0375-9601(02)00434-6Search in Google Scholar

Zhao, H. (2006). Exponential stability and periodic oscillatory of bidirectional associative memory neural networks involving delays, Neurocomputing 69(4): 424-448.10.1016/j.neucom.2005.04.006Search in Google Scholar

ISSN:
1641-876X
Język:
Angielski
Częstotliwość wydawania:
4 razy w roku
Dziedziny czasopisma:
Mathematics, Applied Mathematics