A Survey of Classical and Recent Results in RLC Circuit Synthesis
International Symposium on Mathematical Theory of Networks and Systems
The motivation provided by mechanical network synthesis to make a fresh attack on certain questions in circuit synthesis will be briefly recalled. The classical early work on RLC synthesis, beginning with the works of Foster and Cauer and culminating in the Bott-Duffin construction, will be explained in a tutorial manner. Recent work on RLC synthesis by Jiang and Smith and Hughes and Smith will be introduced. The proof in T.H. Hughes and M.C. Smith, 2014, " On the minimality and uniqueness of the Bott-Duffin procedure " , IEEE Trans. Aut. Contr., (to appear), showing the surprising result that the Bott-Duffin construction for a biquadratic minimum function is the simplest possible among series-parallel circuits, will be explained.
This work was supported by the Engineering and Physical Sciences Research Council under Grant EP/G066477/1
This is the final version of the article. Available from the publisher via the link in this record.
21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, The Netherlands, 7-11 July 2014, pp. 1119 - 1120