convergence time

Model Analysis of Fast Analogue Neural Circuit of Largest Value Signal Set Identification

An analysis of continuous-time model of high speed analogue K-winners-take-all (KWTA) neural circuit which is capable of identifying the K largest of unknown finite value N distinct inputs, where 1K N ≤ < is presented. The model is described by a state equation with discontinuous righthand side and by an output equation. Existence and uniqueness of the steady-states, convergence of state-variable trajectories and convergence time to the KWTA operation are analyzed. The model comparison with other close analogs is given.