Comprehensive analysis of a new varying parameter zeroing neural network for time varying matrix inversion

Lin Xiao*, Yongsheng Zhang, Jianhua Dai*, Qiuyue Zuo, Shoujin Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The matrix inversion problem plays a very important role in mathematics as well as practical engineering applications. In this article, unlike the traditional fixed-parameter zeroing neural network (ZNN) model, on the basis of the original varying-parameter ZNN (VPZNN) model, an improved VPZNN (IVPZNN) model is established and researched to solve time-varying matrix inversion (TVMI). Specifically, the value of the proposed novel time-varying parameter in the IVPZNN model can grow rapidly over time, which can better meet the needs of ZNN in hardware implementation. In addition, theoretical analyses of the novel time varying parameter and the proposed IVPZNN model are given to guarantee the global superexponential convergence and finite-time convergence. Numerical calculation results verify the superior property of the established IVPZNN model for addressing the TVMI problem, as compared with the existing fixed-parameter ZNN and VPZNN models.
Original languageEnglish
Pages (from-to)1604 - 1613
Number of pages10
JournalIEEE Transactions on Industrial Informatics
Issue number3
Publication statusPublished - Mar 2021


  • Finite-time convergence
  • superexponential convergence
  • time-varying matrix inversion (TVMI)
  • varying parameter
  • zeroing neural network (ZNN)


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