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Robustness analysis of a hybrid of recursive neural dynamics for online matrix inversion

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Details

Original languageEnglish
Pages (from-to)969-975
Number of pages7
JournalApplied Mathematics and Computation
Volume273
Early online date12 Nov 2015
DOIs
Publication statusPublished - 2016
Publication typeA1 Journal article-refereed

Abstract

Encouraged by superior convergence performance achieved by a recently-proposed hybrid of recursive neural dynamics for online matrix inversion, we investigate its robustness properties in this paper when there exists large model implementation errors. Theoretical analysis shows that the perturbed dynamic system is still global stable with the tight steady-state bound of solution error estimated. Moreover, this paper analyses global exponential convergence rate and finite convergence time of such a hybrid dynamical model to a relatively loose solution error bound. Computer simulation results substantiate our analysis on the perturbed hybrid neural dynamics for online matrix inversion when having large implementation errors.

Publication forum classification

Field of science, Statistics Finland