August 2024
Intermediate to advanced
355 pages
11h 19m
English
Content preview from Zhang Time Discretization (ZTD) Formulas and Applications
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Chapter 15Euler-Precision General Formula of ZTD
Abstract
In this chapter, we present and focus on a general two-step Zhang time discretization (2S-ZTD) formula with truncation error proportional to the sampling gap. To begin with, the stability and accuracy of the general 2S-ZTD formula are ensured by strict proof. Then, the general 2S-ZTD formula is used for the first-order derivative approximation, and numerical experimental results verify its stability and accuracy. Besides, the general 2S-ZTD formula is applied to discretizing continuous-time zeroing neural network (CTZNN) model, and thus the general two-step discrete-time zeroing neural network (2S-DTZNN) algorithm with square precision is developed for ...
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