Rational Function Systems and Electrical Networks with Multi-Parameters

By: Kai-sheng Lu

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eText | 25 July 2012

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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.

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).