Global stability of a Cohen–Grossberg neural network with both time-varying and continuous distributed delays

Nonlinear Analysis: Real World Applications - Tập 12 - Trang 2861-2870 - 2011
José J. Oliveira1
1Departamento de Matemática e Aplicações and CMAT, Escola de Ciências, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal

Tài liệu tham khảo

Cohen, 1983, Absolute stability of global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Syst. Man Cybern., 13, 815, 10.1109/TSMC.1983.6313075 Marcus, 1989, Stability of analogy neural networks with delay, Phys. Rev. A, 39, 347, 10.1103/PhysRevA.39.347 Chen, 2006, Global asymptotic stability of delayed Cohen–Grossberg neural networks, IEEE Trans. Circuits Syst., 53, 351, 10.1109/TCSI.2005.856047 Chen, 2004, Robust global exponential stability of Cohen–Grossberg neural networks with time delays, IEEE Trans. Neural Netw., 15, 203, 10.1109/TNN.2003.822974 Wang, 2005, Stability of Cohen–Grossberg neural networks with distributed delays, Appl. Math. Comput., 160, 93, 10.1016/j.amc.2003.09.014 Wang, 2002, Harmless delays in Cohen–Grossberg neural networks, Physica D, 170, 162, 10.1016/S0167-2789(02)00544-4 Wu, 2008, Global exponential stability of Cohen–Grossberg neural networks with distributed delays, Math. Comput. Modelling, 47, 868, 10.1016/j.mcm.2007.05.007 Song, 2005, Global dissipativity of neural networks with both variable and unbounded delays, Chaos Solitons Fractals, 25, 393, 10.1016/j.chaos.2004.11.035 Zhang, 2004, Absolutely exponential stability of a class of neural networks with unbounded delay, Neural Netw., 17, 391, 10.1016/j.neunet.2003.09.005 Ji, 2009, Global output convergence of Cohen–Grossberg neural networks with both time-varying and distributed delays, Chaos Solitons Fractals, 40, 344, 10.1016/j.chaos.2007.07.068 Song, 2006, Stability analysis of Cohen–Grossberg neural network with both time-varying and continuously distributed delays, J. Comput. Appl. Math., 197, 188, 10.1016/j.cam.2005.10.029 Faria, 2008, Local and global stability for Lotka–Volterra systems with distributed delays and instantaneous negative feedbacks, J. Differential Equations, 244, 1049, 10.1016/j.jde.2007.12.005 Faria, 2009, Boundedness and global exponential stability for delayed differential equations with applications, Appl. Math. Comput., 214, 487, 10.1016/j.amc.2009.04.016 Oliveira, 2009, Global asymptotic stability for neural network models with distributed delays, Math. Comput. Modelling, 50, 81, 10.1016/j.mcm.2009.02.002 Haddock, 1988, Precompactness and convergence in norm of positive orbits in a certain fading memory space, Funkcial. Ekvac., 31, 349 Hale, 1978, Phase space for retarded equations with infinite delay, Funkcial. Ekvac., 21, 11 Faria, 2011, General criteria for asymptotic and exponential stability of neural network models with unbounded delays, Appl. Math. Comput., 10.1016/j.amc.2011.04.049 Forti, 1995, New condition for global stability of neural networks with application to linear, quadratic programming problems, IEEE Trans. Circuits Syst., 42, 354, 10.1109/81.401145 Fiedler, 1986 Huang, 2007, Stability of Cohen–Grossberg neural networks with time-varying delays, Neural Netw., 20, 868, 10.1016/j.neunet.2007.07.005 Cao, 2006, Stability in Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays, Nonlinearity, 19, 1601, 10.1088/0951-7715/19/7/008