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Rational function systems and electrical networks with multi-parameters / Kai-Sheng Lu.

By: Material type: TextTextPublisher: Beijing : Higher Education Press ; Singapore : World Scientific, [2012]Copyright date: ©2012Description: 1 online resource (xiii, 304 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9814412430
  • 9789814412438
  • 9787894236357
  • 7894236357
Subject(s): Additional physical formats: Print version:: No titleDDC classification:
  • 621.3192 23
LOC classification:
  • TK3226 .L8 2012
Online resources:
Contents:
1 Introduction; 2 Matrices over Field F(z) of RationalFunctions in Multi-parameters; 2.1 Polynomials over Field F(z) or Ring F(z)[-]; 2.2 Operations and Determinant of Matrix over F(z); 2.3 Elementary Operations of Matricesover F(z) and Some Conclusions; 2.4 Operation and CanonicalForm of Matrix over F(z); 2.5 Reducibility of Square Matrix over F(z); 2.6 Reducibility Condition of Classof Matrices over F(z); 2.7 Two Properties; 2.8 Independent Parameters and a Class ofIrreducible Polynomials over F(z); 2.9 Conclusions; 2.10 New Model and Its Reducibility; References.
3 Controllability and Observability ofLinear Systems over F(z)3.1 Controllability and Observability in Time Domain; 3.2 Controllability and Observabilityin Frequency Domain; References; 4 Electrical Networks over F(z); 4.1 Resistor-Source Networks over F(z); 4.2 Separability and Reducibility Conditions of RLCNetworks over F(z) and Their Applications; 4.3 Controllability and Observability ofRLC Networks over F(z); 4.4 Structural Condition of Controllability for RLCNetworks over F(z); 4.5 Structural Condition of Observability forRLC Networks over F(z).
5.3 Some Issues5.4 Quasi Structural Controllability andObservability Concept of NonlinearSystems and Its Applications; References; Appendix; Appendix A Some Well-known Results; Appendix C Proof of Theorem 4.15; Appendix D Proofs of Some Conclusions; References; Index.
Summary: 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 multiparameters 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; type1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F(z); separability, reducibi.
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Includes bibliographical references and index.

Print version record.

1 Introduction; 2 Matrices over Field F(z) of RationalFunctions in Multi-parameters; 2.1 Polynomials over Field F(z) or Ring F(z)[-]; 2.2 Operations and Determinant of Matrix over F(z); 2.3 Elementary Operations of Matricesover F(z) and Some Conclusions; 2.4 Operation and CanonicalForm of Matrix over F(z); 2.5 Reducibility of Square Matrix over F(z); 2.6 Reducibility Condition of Classof Matrices over F(z); 2.7 Two Properties; 2.8 Independent Parameters and a Class ofIrreducible Polynomials over F(z); 2.9 Conclusions; 2.10 New Model and Its Reducibility; References.

3 Controllability and Observability ofLinear Systems over F(z)3.1 Controllability and Observability in Time Domain; 3.2 Controllability and Observabilityin Frequency Domain; References; 4 Electrical Networks over F(z); 4.1 Resistor-Source Networks over F(z); 4.2 Separability and Reducibility Conditions of RLCNetworks over F(z) and Their Applications; 4.3 Controllability and Observability ofRLC Networks over F(z); 4.4 Structural Condition of Controllability for RLCNetworks over F(z); 4.5 Structural Condition of Observability forRLC Networks over F(z).

5.3 Some Issues5.4 Quasi Structural Controllability andObservability Concept of NonlinearSystems and Its Applications; References; Appendix; Appendix A Some Well-known Results; Appendix C Proof of Theorem 4.15; Appendix D Proofs of Some Conclusions; References; Index.

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 multiparameters 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; type1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F(z); separability, reducibi.

Added to collection customer.56279.3

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