Rational Function Systems And Electrical Networks With Multi-parameters
Rational Function Systems And Electrical Networks With Multi-parameters
English | 2012 | ISBN: 9814412422 | 319 Pages | PDF (True) | 4 MB
English | 2012 | ISBN: 9814412422 | 319 Pages | PDF (True) | 4 MB
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.