A winner-take-all circuit based on second order Hopfield neural networks as building blocks
Pavlo V. Tymoshchuk, Eugenius Kaszkurewicz · 2004
A new analog inhibitory Hopfield based winner-take-all (WTA) circuit is proposed. The general circuit structure is a binary tree arrangement of second order Hopfield networks and logic nodes. The connection matrix belongs to the class of diagonally stable block diagonal matrices and the activation functions are piecewise linear or sigmoidal. The mathematical justification of the WTA circuit functioning, on the basis of the uniqueness and global asymptotic stability of the equilibrium, is given. Simulation examples are also provided.