Conditions for the causality of nonlinear operators defined on a function space
Author:
I. W. Sandberg
Journal:
Quart. Appl. Math. 23 (1965), 87-91
MSC:
Primary 47.80
DOI:
https://doi.org/10.1090/qam/188836
MathSciNet review:
188836
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Abstract: This note considers nonlinear operators $T$ with both range and domain subsets of the space of complex $n$-vector-valued functions of the real variable $t$ for $- \infty < t < \infty$. Conditions, in which energy-type quantities play a key role, are presented under which $T$ is causal in the following sense:
D. C. Youla, L. J. Castriota, and H. J. Carlin, Bounded real scattering matrices and the foundations of linear passive network theory, IRE PGCT, Vol. CT-6, March 1959.
D. C. Youla, L. J. Castriota, and H. J. Carlin, Bounded real scattering matrices and the foundations of linear passive network theory, IRE PGCT, Vol. CT-6, March 1959.
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Article copyright:
© Copyright 1965
American Mathematical Society