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 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. Sample Chapter(s). Chapter 1: Introduction (166 Kb). Contents: Introduction; Matrices Over Field F ( Z ) Of Rational Functions In Multi-parameters; Controllability And Observability Of Linear Systems Over F ( Z ); Electrical Networks Over F ( Z ); Further Thought. Readership: For Researchers, Graduate Students, And Engineers In The Field Of Electrical Engineering, Electronics, Automation And Applied Mathematics (matrix Theory).