## 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.