Eksteen, J.J.A.Heyns, P.S. (Philippus Stephanus)2015-11-022016J.J.A. Eksteen & P.S. Heyns (2016) Improvements in stable inversion of NARX models by using Mann iteration, Inverse Problems in Science and Engineering, 24:4, 667-691, DOI: 10.1080/17415977.2015.1055262.1741-5977 (print)1741-5985 (online)10.1080/17415977.2015.1055262http://hdl.handle.net/2263/50309The use of Mann iteration in the stable inversion of NARX models that have been converted to state space form is investigated to either recover the convergence or improve the accuracy of the best approximate solution under conditions when Picard iteration fails to converge. Attention is given to the use of filtering and time-varying iteration gains. The results are potentially of use in response reconstruction for fatigue testing purposes where the inverse of a NARX model, obtained by system identification, may be used to achieve the reconstruction.en© 2015 Taylor & Francis.This is an electronic version of an article published in Inverse Problems in Science and Engineering, vol. 24, no. 4, pp. 667-691, 2016. doi : 10.1080/17415977.2015.1055262. Inverse Problems in Science and Engineering is available online at : http://www.tandfonline.com/loi/gipe20.Stable inversionPicard iterationMann iterationIshikawa iterationIterative learning controlNARX modelsDiscrete timeNonlinearResponse reconstructionFatigue testingEngineering, built environment and information technology articles SDG-09SDG-09: Industry, innovation and infrastructurePostprint Article