existence and uniqueness

Work modes of impulse k-winners-take-all neural network

A continuous-time network of K-winners-take-all (KWTA) neural circuit (NC) which is capable of identifying the largest K of N inputs, where a command signal 1 <= K < N is described. The network is described by a state equation with a discontinuous right-hand side and by an output equation. The state equation contains an impulse train defined by a sum of Dirac delta functions. Existence and uniqueness of the network work modes is analyzed. The main advantage of the network comparatively to other close analogs is widening convergence speed limitations to working modes.

Існування та единість встановлених станів аналогової нейронної схеми визначення найбільших сигналів

An existence and uniqueness of K-Winner-Take-All (KWTA) – neural circuit steady states are analyzed. The circuit processing time, signal ordering preserving property, circuit resolution ability and functioning accuracy are discussed. Simulation results confirming theoretical predictions and demonstrating performance of the circuit are provided.