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.

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).
Key Features:

• This book is the first one introducing systems, networks and matrices over F(z). In this book, the methods describing systems, networks and matrices are different from other similar books. They introduce systems, networks and matrices over the real field, but this book introduces systems, networks and matrices over F(z)
• The methods and conclusions in this book are new ones and are different from other similar books