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IEEE Trans Cybern. 2016 Nov;46(11):2509-2520. doi: 10.1109/TCYB.2015.2479118. Epub 2015 Oct 02.

Discontinuous Neural Networks for Finite-Time Solution of Time-Dependent Linear Equations.

IEEE transactions on cybernetics

Mauro Di Marco, Mauro Forti, Paolo Nistri, Luca Pancioni

PMID: 26441464 DOI: 10.1109/TCYB.2015.2479118

Abstract

This paper considers a class of nonsmooth neural networks with discontinuous hard-limiter (signum) neuron activations for solving time-dependent (TD) systems of algebraic linear equations (ALEs). The networks are defined by the subdifferential with respect to the state variables of an energy function given by the L

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