Taylor-type 1-step-ahead numerical differentiation rule for first-order derivative approximation and ZNN discretization

作者：

Highlights：

• A formula is proposed to approximate the first-order derivative.

• An optimal step length rule for the proposed formula is investigated.

• A Taylor-type ZNN model is derived for time-varying matrix inversion.

摘要

•A formula is proposed to approximate the first-order derivative.•An optimal step length rule for the proposed formula is investigated.•A Taylor-type ZNN model is derived for time-varying matrix inversion.

论文关键词：First-order derivative,Numerical differentiation,ZNN discretization,Computational precision,Error analysis

论文评审过程：Received 2 August 2013, Revised 19 April 2014, Available online 11 June 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.05.027