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Rational function systems and electrical networks with multi-parameters /
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 structur...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Beijing : Singapore :
Higher Education Press ; World Scientific,
[2012]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.