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Inclusion conditions for Hurwitzian and Schur sets in

Published online by Cambridge University Press:  24 October 2008

Russell A. Smith
Russell A. Smith
Affiliation:
University of Durham
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Abstract

A condition of frequency domain type on the vector polynomial G(z) is obtained which is both necessary and sufficient for the Hurwitzian set of G(z) to include the special Hurwitzian set , where E(z) = col (1, z, …, zn). This result is extended to Hurwitzian sets arising from scalar delay-differential equations. Analogous conditions are also given for each of the inclusions where denotes the Schur set of G(z).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 113 - 120
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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