Rational Function Systems And Electrical Networks With Multi Parameters
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Rational Function Systems and Electrical Networks with Multi-parameters
To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F(z) of rational functions in multi-parameters describing coefficient matrices of systems and networks and makes systems and network description over F(z) and researches their structural properties: reducible condition of a class of matrices over F(z) and their characteristic polynomial; type-1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F(z); separability, reducibility, controllability, observability and structural conditions of networks over F(z), and so on. This book involves three subjects: systems, networks and matrices over F(z), which is an achievement of interdisciplinary research.
Rational Function Systems and Electrical Networks with Multi-parameters
To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F ( z ) of rational functions in multi-parameters describing coefficient matrices of systems and networks and makes systems and network description over F ( z ) and researches their structural properties: reducible condition of a class of matrices over F ( z ) and their characteristic polynomial; type-1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F ( z ); separability, reducibility, controllability, observability and structural conditions of networks over F ( z ), and so on. This book involves three subjects: systems, networks and matrices over F ( z ), which is an achievement of interdisciplinary research. Sample Chapter(s). Chapter 1: Introduction (166 KB). Contents: Introduction; Matrices Over Field F ( z ) of Rational Functions in Multi-Parameters; Controllability and Observability of Linear Systems Over F ( z ); Electrical Networks Over F ( z ); Further Thought. Readership: For researchers, graduate students, and engineers in the field of electrical engineering, electronics, automation and applied mathematics (matrix theory).
Scientific Computing in Electrical Engineering
Author: Martijn van Beurden
language: en
Publisher: Springer Nature
Release Date: 2022-03-11
The conference has an interdisciplinary focus and aims to bring together scientists – mathematicians, electrical engineers, computer scientists, and physicists, from universities and industry – to have in-depth discussions of the latest scientific results in Computational Science and Engineering relevant to Electrical Engineering and to stimulate and inspire active participation of young researchers.