ISBN: 9814412430 9789814412438

Category: Mathematics / Optimization

Page count: 304

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).