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On a Specialised Case of the Routh-Hurwitz Stability Criteria

Published online by Cambridge University Press:  07 June 2016

E. Nissim
E. Nissim*
Affiliation:
Technion—Israel Institute of Technology, Haifa
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Summary

The well-known Routh-Hurwitz stability criteria apply to polynomial characteristic equations with real coefficients. Lesser known criteria were devised by Hurwitz for the case of polynomials with complex coefficients. However, when polynomials with real coefficients and even powers only are directly subjected to the first-mentioned criteria, all the test determinants obtained vanish identically and thus fail to indicate the state of stability. In the present paper, the stability test functions for such characteristic polynomials are derived.

Type
Research Article
Information
Aeronautical Quarterly , Volume 19 , Issue 4 , November 1968 , pp. 352 - 356
Copyright
Copyright © Royal Aeronautical Society. 1968

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References

1. Morris, J. The Routh and Routh-Hurwitz stability criteria, Aircraft Engineering, January 1962.Google Scholar
2. Done, G. T. S. The effect of linear damping on flutter speed, ARC R & M 3396, 1965.Google Scholar
3. Routh, E. J. The advanced part of a treatise on the dynamics of a system of rigid bodies. Macmillan, London, 1905. (Reprint by Dover Publications, New York, 1960.)Google Scholar
4. Hurwitz, A. Über die Bedingungen unter welchen einer Gleichung nur Wurzeln mit negativen reelen Teilen besitzt. Mathematische Annalen, Vol. 46, 1895.CrossRefGoogle Scholar