Otwarty dostęp

Discrete-time Cohen-Grossberg neural networks with transmission delays and impulses

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications 2008

Zacytuj

[1] AKC,A, H.-ALASSAR, R.-COVACHEV, V.-COVACHEVA, Z.: Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses, Dynam. Systems Appl. 13 (2004), 77-92.Search in Google Scholar

[2] ARIK, S.-ORMAN, Z.: Global stability analysis of Cohen-Grossberg neural networks with varying delays, Phys. Lett. A 341 (2005), 410-421.10.1016/j.physleta.2005.04.095Search in Google Scholar

[3] CAO, J.-SONG, Q.: Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays, Nonlinearity 19 (2006), 1601-1617.10.1088/0951-7715/19/7/008Search in Google Scholar

[4] CHEN, Z.-RUAN, J.: Global dynamic analysis of general Cohen-Grossberg neural networks with impulse, Chaos Solitons Fractals 32 (2007), 1830-1837.10.1016/j.chaos.2005.12.018Search in Google Scholar

[5] CHEN, Z.-RUAN, J.: Global stability analysis of impulsive Cohen-Grossberg neural networks with delay, Phys. Lett. A 345 (2005), 101-111.10.1016/j.physleta.2005.06.104Search in Google Scholar

[6] COHEN, M. A.-GROSSBERG, S.: Absolute stability of global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Systems Man Cybernet. 13 (1983), 815-826.10.1109/TSMC.1983.6313075Search in Google Scholar

[7] COVACHEV, V.-AKC,A, H.-COVACHEVA, Z.-AL-ZAHRANI, E.: A discrete counterpart of a continuous-time additive Hopfield-type neural networks with impulses in an integral form, Stud. Univ. ˇZilina Math. Ser. 17 (2003), 11-18.Search in Google Scholar

[8] COVACHEV, V.-AKC,A, H.-YENIC,ERIO˘GLU, F.: Difference approximations for impulsive differential equations, Appl. Math. Comput. 121 (2001), 383-390.Search in Google Scholar

[9] FIEDLER, M.: Special Matrices and Their Applications in Numerical Mathematics, Martinus Nijhoff Publ., Dordrecht, 1986.10.1007/978-94-009-4335-3Search in Google Scholar

[10] FORTI, M.-TESI, A.: New conditions for global stability of neural networks with application to linear and quadratic programming problems, IEEE Trans. Circuits Systems I Fund. Theory Appl. 42 (1995), 354-366.10.1109/81.401145Search in Google Scholar

[11] GOPALSAMY, K.: Stability of artificial neural networks with impulses, Appl. Math. Comput. 154 (2004), 783-813.Search in Google Scholar

[12] HADAMARD, J.-S.: Sur les Correspondences Ponctuelles, OEuvres, ´Editions du Centre National de la Recherche Scientifique, Paris, 1968.Search in Google Scholar

[13] HORN, R. A.-JOHNSON, C. R.: Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.10.1017/CBO9780511840371Search in Google Scholar

[14] HUANG, Z.-WANG, X.-GAO, F.: The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks, Phys. Lett. A 350 (2006), 182-191.10.1016/j.physleta.2005.10.022Search in Google Scholar

[15] LI, Y.: Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks, Electron. J. Differential Equations 32 (2006), 1-21.Search in Google Scholar

[16] LI, Y.: Global exponential stability of BAM neural networks with delays and impulses, Chaos Solitons Fractals 24 (2005), 279-285.10.1016/S0960-0779(04)00561-2Search in Google Scholar

[17] LI, Y.: Global stability and existence of periodic solutions of discrete delayed cellular neural networks, Phys. Lett. A 333 (2004), 51-61.10.1016/j.physleta.2004.10.022Search in Google Scholar

[18] LIANG, J.-CAO, J.: Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays, Chaos Solitons Fractals 22 (2004), 773-785.10.1016/j.chaos.2004.03.004Search in Google Scholar

[19] LIANG, J.-CAO, J.-HO, D. W. C.: Discrete-time bidirectional associative memory neural networks with variable delays, Phys. Lett. A 335 (2005), 226-234.10.1016/j.physleta.2004.12.026Search in Google Scholar

[20] LIANG, J.-CAO, J.-LAM, J. J.: Convergence of discrete-time recurrent neural networks with variable delay, Internat. J. Bif. Chaos Appl. Sci. Engrg. 15 (2005), 581-595.10.1142/S0218127405012235Search in Google Scholar

[21] MOHAMAD, S.: Exponential stability preservation in discrete-time analogues of artificial neural networks with distributed delays, J. Comput. Appl. Math. 215 (2008), 270-287.10.1016/j.cam.2007.04.009Search in Google Scholar

[22] MOHAMAD, S.: Computer simulations of exponentially convergent networks with large impulses, Math. Comput. Simulation 77 (2008), 331-344.10.1016/j.matcom.2007.02.012Search in Google Scholar

[23] MOHAMAD, S.: Global exponential stability in discrete-time analogues of delayed cellular neural networks, J. Difference Equ. Appl. 9 (2003), 559-575.10.1080/1023619021000040524Search in Google Scholar

[24] MOHAMAD, S.: Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks, Phys. D 159 (2001), 233-251.10.1016/S0167-2789(01)00344-XSearch in Google Scholar

[25] MOHAMAD, S.-GOPALSAMY, K.: Dynamics of a class of discrete-time neural networks and their continuous-time counterparts, Math. Comput. Simulation 53 (2000), 1-39.10.1016/S0378-4754(00)00168-3Search in Google Scholar

[26] MOHAMAD, S.-NAIM, A. G.: Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks, J. Comput. Appl. Math. 138 (2002), 1-20.10.1016/S0377-0427(01)00366-1Search in Google Scholar

[27] SONG, Q.-CAO, J.: Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays, IEEE Trans. Systems Man Cybernet. Part B 37 (2007), 733-741.10.1109/TSMCB.2006.88795117550127Search in Google Scholar

[28] SUN, C.-FENG, C. B.: Discrete-time analogues of integrodifferential equations modeling neural networks, Phys. Lett. A 334 (2005), 180-191.10.1016/j.physleta.2004.10.082Search in Google Scholar

[29] SUN, C.-FENG, C. B.: Exponential periodicity of continuous-time and discrete-time neural networks with delays, Neural Proc. Lett. 19 (2004), 131-146.10.1023/B:NEPL.0000023421.60208.30Search in Google Scholar

[30] XIANG, H.-YAN, K. M.-WANG, B. Y.: Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks, Discrete Dyn. Nat. Soc. 3 (2005), No. 3, 281-297.Search in Google Scholar

[31] YANG, F.-ZHANG, C.-WU, D.: Global stability of impulsive BAM type Cohen-Grossberg neural networks with delays, Appl. Math. Comput. 186 (2007), 932-940.Search in Google Scholar

[32] YANG, Z.-XU, D.: Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays, Appl. Math. Comput. 177 (2006), 63-78.Search in Google Scholar

[33] ZHANG, J. Y.-SUDA, Y.-KOMINE, H.: Global exponential stability of Cohen-Grossberg neural networks with variable delays, Phys. Lett. A 338 (2005), 44-50.10.1016/j.physleta.2005.02.005Search in Google Scholar

[34] ZHOU, T.-LIU, YUEHUA-LIU, YIRONG: Existence and global exponential stability of periodic solution for discrete-time BAM neural networks, Appl. Math. Comput. 182 (2006), 1341-1354.Search in Google Scholar

ISSN:
1210-3195
Język:
Angielski
Częstotliwość wydawania:
3 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics