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Stability Criteria, with Special Reference to the Sextic Equation

Part of: 75 year anniversary of Aeronautical Engineering at Glasgow University

Published online by Cambridge University Press:  28 July 2016

W. J. Duncan
W. J. Duncan*
Affiliation:
Department of Aeronautics and Fluid Mechanics in the University of Glasgow
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Extract

Stability criteria for systems governed by linear differential equations with constant coefficients are discussed in a general way. Detailed treatment of the sextic equation includes a simple and expeditious scheme for computing the test functions.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 58 , Issue 522 , June 1954 , pp. 431 - 433
Copyright
Copyright © Royal Aeronautical Society 1954

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References

1. Routh, E. J. (1877). A Treatise on the Stability of a Given State of Motion. Macmillan, 1877.Google Scholar
2. Routh., E. J. Advanced Rigid Dynamics. Macmillan (numerous editions).Google Scholar
3. Hurwitz, A. (1895). Uber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reelen Theilen besitzt. Mathematische Annalen, Vol. 46, 1895, pp. 273-84.CrossRefGoogle Scholar
4. Frazer, R. A. and Duncan, W. J.(1929). On the Criteria for the Stability of Small Motions. Proc. Roy. Soc. A, Vol. 124, 1929, pp. 642.Google Scholar
5. Duncan, W. J.(1952). Control and Stability of Aircraft. Cambridge, 1952.Google Scholar