Complex Systems Modelling Developed for Electromagnetic Compatibility Applied to Automatic Problems

Gabriel Kron has developed tensorial analysis of networks (TAN) in 1939. This formalism gives all the techniques to analyse systems. Extending his work, one has submitted the xTAN method for " extended tensorial analysis of networks " adding chords and game theory, firstly focused on electromagnetic compatibility, the authors not being in the automatic community. But it seems that the method developed may be interesting for this community, giving perhaps new opportunities in system description as in their modelling. Mathematical considerations and illustrations on examples are given in order to present as clearly as possible the formalism and its application to automatic. Future works, under the assumption that the method presents interesting sides, will consist in applying the method to various case in systems modelling, in order to improve its performances.