多元有理函數(shù)系統(tǒng)與電網(wǎng)絡(luò)

內(nèi)容概要

　　《多元有理函數(shù)系統(tǒng)與電網(wǎng)絡(luò)（英文版）》主要介紹多元有理函數(shù)系統(tǒng)與電網(wǎng)絡(luò)的結(jié)構(gòu)和性質(zhì)，詳細(xì)討論了域F（z）上的矩陣及其特征多項式的可約性條件；定義了I型矩陣并證明了它的兩個基本性質(zhì)；介紹了獨立參量的變量代換條件，域F（z）上線性系統(tǒng)的結(jié)構(gòu)能控能觀性問題、電網(wǎng)絡(luò)的結(jié)構(gòu)性質(zhì)、RLCM網(wǎng)絡(luò)的可斷性和可約性及能控能觀性、有源網(wǎng)絡(luò)狀態(tài)方程的存在性條件、能控能觀性條件等；附錄給出了《多元有理函數(shù)系統(tǒng)與電網(wǎng)絡(luò)（英文版）》用到的一些知識。　　《多元有理函數(shù)系統(tǒng)與電網(wǎng)絡(luò)（英文版）》適合電子電氣、自動化和應(yīng)用數(shù)學(xué)（矩陣?yán)碚摚I(yè)的研究生、科研和工程技術(shù)人員參考閱讀。

書籍目錄

PrefaceAcknowledgments1 IntroductionReferences2 Matrices over Field F（z） of Rational Functions in Multi-parameters2.1 Polynomials over Field F（z） or Ring F（z）[隴2.2 Operations and Determinant of Matrix over F（z）2.3 Elementary Operations of Matrices over F（z） and Some Conclusions2.4 Operation and Canonical Form of Matrix over F（z）2.4.1 Matrix over F（z） and its canonical expression2.4.2 Characteristic matrix2.4.3 Two canonical forms of nonderogatory matrix2.4.4 Rational canonical form and general Jordan canonical form2.5 Reducibility of Square Matrix over F（z）2.6 Reducibility Condition of Class of Matrices over F（z）2.6.1 A class of RFM2.6.2 Some lemmas and definitions2.6.3 Reducibility condition2.6.4 Applications2.6.5 Summary2.7 Two Properties2.7.1 Some lemmas2.7.2 Type-l matrix has two properties2.7.3 Problems2.8 Independent Parameters and a Class oflrreducible Polynomials over F（z） [隴2.9 Conclusions2.10 New Model and Its Reducibility2.10.1 The new model2.10.2 Reducibility conditionReferences3 Controllability and Observability of Linear Systems over F（z）3.1 Controllability and Observability in Time Domain3.1.1 Preliminaries [Lu， 2001]3.1.2 Controllability criteria [Lu， 2001]3.1.3 The canonical decomposition of controllability and observability of systems3.1.4 Criterions to linear physical systems3.1.5 Applications to control systems3.2 Controllability and Observability in Frequency Domain3.2.1 General systems [Lu et al.， 1991]3.2.2 SC-SO of composite systems [Lu et al.， 1991]3.2.3 Polynomial matrix [Liu， 2008] References4 Electrical Networks over F（z）4.1 Resistor-Source Networks over F（z）4.1.1 Introduction4.1.2 General resistor-source networks4.1.3 Unhinged networks4.1.4 Effects of single source4.2 Separability and Reducibility Conditions of RLC Networks over F（z） and Their Applications4.2.1 Introduction4.2.2 Preliminaries4.2.3 Separability condition4.2.4 Separability and reducibility4.2.5 Applications4.3 Controllability and Observability of RLC Networksover F（z）5 Further ThoughtAppendixIndex

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