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Multiple Fourier analysis for bang-bang controls with memory

Published online by Cambridge University Press:  16 July 2009

Robert L. Sternberg
Robert L. Sternberg
Affiliation:
113 Seneca Drive, Noank, CT, USA
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Abstract

Bennett functions , (h, k), defined below and elsewhere, have been used extensively in Fourier analysing the output of certain devices such as rectifiers, limiters and other instantaneous modulators responding to a two-frequency input for which the output at time t depends only on the device input–output characteristic Y = Y(X) and the input at time t. Here, with the aid of a new set of modified Bennett functions , (h, k), these methods are extended to solve the same problems for non-instantaneous bang-bang controls with multivalued input–output characteristics Y = Y(X) and hence having memory.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 1 , March 1992 , pp. 75 - 92
Copyright
Copyright © Cambridge University Press 1992

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