Rational Function Systems and Electrical Networks with Multi-parameters

Download or read book Rational Function Systems and Electrical Networks with Multi-parameters written by Kai-Sheng Lu and published by World Scientific. This book was released on 2012 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.