Abstract
We study systems containing one memoryless nonlinearity. We show that two such systems have the same I/O operator only when they are related by simple scaling, delay, and loop transformations. The theory is applied to one-port networks containing one nonlinear element.
Research supported in part by the Office of Naval Research under contract N00014-76-C-0572, the National Science Foundation under grant ECS BO-20-640, and the Fannie and John Hertz Foundation.
The authors are with the department of Electrical Engineering and Computer Sciences, and the Electronics Research Laboratory, University of California, Berkeley 94720.
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© 1984 Springer-Verlag
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Boyd, S., Chua, L.O. (1984). Uniqueness of circuits and systems containing one nonlinearity. In: Fuhrmann, P.A. (eds) Mathematical Theory of Networks and Systems. Lecture Notes in Control and Information Sciences, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031047
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DOI: https://doi.org/10.1007/BFb0031047
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