A Novel Recurrent Neural Network With One Neuron and Finite-Time Convergence for <formula formulatype="inline"><tex Notation="TeX">$k$</tex></formula>-Winners-Take-All Operation

In this paper, based on a one-neuron recurrent neural network, a novel k-winners-take-all (k -WTA) network is proposed. Finite time convergence of the proposed neural network is proved using the Lyapunov method. The k-WTA operation is first converted equivalently into a linear programming problem. Then, a one-neuron recurrent neural network is proposed to… (More)