Global exponential stability of delayed BAM network on time scale

R.P. Agarwal, M. Bohner, D. O’Regan, A. Peterson, Dynamic equations on time scales: a survey (special issue on dynamic equations on time scales, ed. by R.P. Agarwal, M. Bohner, D. O’Regan), J. Comput. Appl. Math. 141 (1–2) (2002) 1–26. Bohner, 2001 Bohner, 2003 Cao, 2003, Exponential stability of delayed bidirectional associative memory networks, Appl. Math. Comput., 135, 105, 10.1016/S0096-3003(01)00315-0 Cao, 2007, LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay, Nonlinear Anal., 66, 1558, 10.1016/j.na.2006.02.009 Cao, 2006, Stability in Cohen–Grossberg type BAM neural networks with time-varying delays, Nonlinearity, 19, 1601, 10.1088/0951-7715/19/7/008 Cao, 2000, Periodic oscillatory solution of bidirectional associative memory networks, Phys. Rev. E, 61, 1825, 10.1103/PhysRevE.61.1825 Cao, 2002, Exponential stability and periodic oscillatory solution in BAM networks with delays, IEEE Trans. Neural Networks, 13, 457, 10.1109/72.991431 Chen, 2007, Periodic bi-directional Cohen–Grossberg neural networks with distributed delays, Nonlinear Anal., 66, 2947, 10.1016/j.na.2006.04.016 Chen, 2004, Exponential stability of BAM neural networks with transmission delays, Neurocomputing, 57, 435, 10.1016/j.neucom.2003.10.015 Chen, 2003, Existence and stability of almost periodic solution for BAM neural networks with delays, Appl. Math. Comput., 137, 177, 10.1016/S0096-3003(02)00095-4 Chen, 2007, Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms, Int. J. Syst. Sci., 38, 421, 10.1080/00207720701276531 Gopalsamy, 1994, Delay-independent stability in bi-directional associative memory networks, IEEE Trans. Neural Networks, 5, 998, 10.1109/72.329700 Hilger, 1990, Analysis on measure chains—a unified approach to continuous and discrete calculus, Results Math., 18, 18, 10.1007/BF03323153 Hilger, 1997, Differential and difference calculus-unified, Nonlinear Anal. TMA, 30, 2683, 10.1016/S0362-546X(96)00204-0 Kosko, 1987, Adaptive bi-directional associative memories, Appl. Optim., 26, 4947, 10.1364/AO.26.004947 Kosko, 1988, Bi-directional associative memories, IEEE Trans. Syst. Man Cybern., 18, 49, 10.1109/21.87054 Kosko, 1992 Liang, 2004, Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays, Chaos Solitons Fractals, 22, 773, 10.1016/j.chaos.2004.03.004 Liang, 2005, Discrete-time bidirectional associative memory neural networks with variable delays, Phys. Lett. A, 335, 226, 10.1016/j.physleta.2004.12.026 Liao, 1998, Qualitative analysis of bi-directional associative memory with time delay, Int. J. Circuit Theory Appl., 26, 219, 10.1002/(SICI)1097-007X(199805/06)26:3<219::AID-CTA991>3.0.CO;2-I Liao, 1997, Neural networks of bi-directional associative memory with axonal signal transmission delays, J. Electron., 19, 439 Ruffing, 2005, Corresponding Banach spaces on time scales, J. Comput. Appl. Math., 179, 313, 10.1016/j.cam.2004.09.047 Song, 2007, An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays, Nonlinear Anal. Real World Appl., 8, 1224, 10.1016/j.nonrwa.2006.07.002 Sree Hari Rao, 1999, Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones, Neural Networks, 12, 455, 10.1016/S0893-6080(98)00134-8 Xia, 2007, New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays, Chaos Solitons Fractals, 31, 928, 10.1016/j.chaos.2005.10.043 Zhao, 2002, Global stability of bi-directional associative memory neural networks with distributed delays, Phys. Lett. A, 297, 182, 10.1016/S0375-9601(02)00434-6