%0 Conference Paper %A Mandic, Danilo P. %A Chambers, Jonathon %D 2010 %T Global asymptotic convergence of nonlinear relaxation equations realised through a recurrent perceptron %U https://repository.lboro.ac.uk/articles/conference_contribution/Global_asymptotic_convergence_of_nonlinear_relaxation_equations_realised_through_a_recurrent_perceptron/9553694 %2 https://repository.lboro.ac.uk/ndownloader/files/17185448 %K untagged %K Mechanical Engineering not elsewhere classified %X Conditions for global asymptotic stability (GAS) of a nonlinear relaxation equation realised by a nonlinear autoregressive moving average (NARMA) recurrent perceptron are provided. Convergence is derived through fixed point iteration (FPI) techniques, based upon a contraction mapping feature of a nonlinear activation function of a neuron. Furthermore, nesting is shown to be a spatial interpretation of an FPI, which underpins a pipelined recurrent neural network (PRNN) for nonlinear signal processing %I Loughborough University