Old and new directions of research in system theory

Abstract

The problem of classical electrical network synthesis (flourished between 1920-1970) is subjected to scientific critique. Conclusions: the first attacks on the problem were frustrated and eventually defeated by a naive over-reliance on engineering/physical intuition and shoving the mathematical issues whenever possible under the rug; now, by concentrating on essential mathematics, much of it known since the 19th century, research will be revived with spectacular prospects of scientific progress. © 2010 Springer-Verlag Berlin Heidelberg.