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Forced oscillations of the feedback control equation

Published online by Cambridge University Press:  14 February 2012

Russell A. Smith
Russell A. Smith
Affiliation:
Department of Mathematics, University of Durham
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Synopsis

Schaefer's fixed-point theorem is used to obtain sufficient conditions for the existence of a periodic solution of the non-linear differential equation f(D)x+BMg(D)x = p. The most significant feature of these conditions is a geometrical restriction on the range of the matrix M which is the same as the elliptic ball criterion encountered in stability theory. The extension of the results to delay-differential equations with constant time lags is also discussed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 76 , Issue 1 , 1976 , pp. 31 - 42
Copyright
Copyright © Royal Society of Edinburgh 1976

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References

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