The Use of Functionals in the Analysis of Non-linear Physical Systems†
- 1 December 1963
- journal article
- cqntrol section
- Published by Taylor & Francis in Journal of Electronics and Control
- Vol. 15 (6) , 567-615
- https://doi.org/10.1080/00207216308937611
Abstract
This report is an attempt to develop a method of analysis applicable equally to linear or non-linear systems. The main method discussed is the expansion of the input-output relation in a functional power series–an idea first due to Volterra for general functional relationships and to Wiener in its application to non-linear communication problems. The report attempts to present a systematic development of this idea. The last part of the report discusses analogous expansions in a series of terms orthogonal with respect to input statistics.Keywords
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