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 10Future Matrix Inversion with Sometimes-Singular Coefficient Matrix
Abstract
In this chapter, a five-step Zhang time discretization (5S-ZTD) formula with high precision is presented to approximate the first-order derivative. Then, such a formula is studied to discretize two continuous-time neural network models, i.e., a continuous-time zeroing neural network (CTZNN) model and a continuous-time gradient neural network (CTGNN) model. Subsequently, two discrete-time neural network algorithms, i.e., a five-step discrete-time zeroing neural network (5S-DTZNN) algorithm and a five-step discrete-time gradient neural network (5S-DTGNN) algorithm, are developed and investigated for future matrix inversion (FMI). ...
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