[内容简介]This book chiefly introduces the structure and nature of multivariate rational function system and electric network and has a detailed discussion on the matrix on domain F(z) and the reducibility conditions of its characteristic polynomial; defines 1-type matrix and proves its two basic natures; introduces the variable substitution conditions of independent parameters, the structure controllability and observability of linear system on domain F(z), the structural properties of power network, the separability, reducibility, controllability and observability of RLCM network, the existence conditions of active electric network, controllability and observability conditions, etc. This book is suitable for gradate students engaged in electrical electronics, automation and applied mathematics (matrix theory) and scientific research and engineering and technical personnel.

[目次]1 Introduction 
References 
2 Matrices over Field F(z)of Rational Functions in Multi-parameters 
3 Controllability and Observability of Linear Systems over F(z) 
4 Electrical Networks over F(z) 
5 Further Thought 
References 
Appendix 
Appendix A Some Well-known Results 
Appendix B Some Relevant Proofs in Theorem 4.11 
Appendix C Proof of Theorem 4.15 
Appendix D Proofs of some conclusions 
References 
Index