A method for linearing any non-linear systems over GF(2M) is presented in terms of increasing its dimensions. The linearization matrix can be obtained from a similarity transform of connection matrix. The similarity transform matrix \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\underline{P}$$\end{document} contains a DFT of length (2M–1) over GF(2M). The connection matrix \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\underline{C}$$\end{document} can be obtained from the truth table of systems. A computer method is proposed for studying of a non-linear system. The method can be used to detect the amplitude and period of oscillations in the systems.
Linearization of Nonlinear Systems Over GF(2M)
Footprints in Cambridge and Aviation Industries of China ; Chapter : 8 ; 94-99
2021-09-20
6 pages
Article/Chapter (Book)
Electronic Resource
English
Linearization of Nonlinear Control Systems
TIBKAT | 2022
|Determining dissipativity of switched nonlinear systems using linearization
British Library Online Contents | 2018
|A Tool Box for Approximate Linearization of Nonlinear Systems
British Library Online Contents | 1993
|The Interactor of Nonlinear Systems and Input-Output Linearization
British Library Online Contents | 1998
|