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Full Description
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
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, Obserability and Structural Conditions of Networks over F(z).



