A class of discrete-time Cohen-Grossberg neural networkswith delays is investigated in this paper. By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations are discussed. By applying the normal form theory and the center manifold theorem, the direction of the Neimark-Sacker bifurcation and the stabi...

An impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms is considered. The reaction-diffusion terms are approximated by divided differences. For simplicity of notation the spatial domain Ω is assumed to be a finite closed interval [a, b]. Under suitable conditions in terms of M−matrices it is proved that the system obtained has a unique ...

A generalized Cohen-Grossberg neural network model with both discrete and neutral time varying delays is considered here. Activation functions and approximately behaved functions are not required to be differentiable. Global robust exponential stability of periodic solution is studied using a suitable Lyapunov functional by constructing a general eigen value problem [GEVP]. More generalized and...

Methods drawn from control theory { Generalised Predictive Control and self-tuning control { are brought together with methods drawn from Neural Networks { Local Model Networks and Modular Neural Networks { to give a multiple-model adaptive algorithm for the control of non-linear systems whose dynamics depend on an unknown external signal. The method overcomes the \stability-plasticity dilemma"...

PCT Written Opinion for PCT/US20 1 1/02 74 0 2 with a mailing date of Nov. 24, 2011. J. S. Albus, 1971, "A theory of cerebellar function," Mathematical Biosciences, vol. 10, pp. 25-61. M. Cohen, and S. Grossberg, "Absolute stability of global pattern formation and parallel memmory stage by competitive neural networks," IEEE Trans. Systems, Man, Cybernetics, vol. SMC-13, pp. 815-826,1983. S. E. ...