Title : 
Standard state equation form from a Lagrangian formulation
         
        
            Author : 
Hirano, Keizo ; Ogura, I.
         
        
        
        
        
            fDate : 
3/1/1970 12:00:00 AM
         
        
        
        
            Abstract : 
The matrix method for obtaining the standard form of state equations of a linear lumped network is presented from the Lagrangian formulation in terms of branch element matrices and the fundamental loop matrix. The result obtained agrees with that derived from Kirchhoff´s law. Finally, the elimination of source derivatives is mentioned for linear RLC networks.
         
        
            Keywords : 
Capacitance; Equations; Image converters; Inductance; Jacobian matrices; Lagrangian functions; Lighting; Millimeter wave technology; Optimized production technology; Voltage;
         
        
        
            Journal_Title : 
Proceedings of the IEEE
         
        
        
        
        
            DOI : 
10.1109/PROC.1970.7674