Hostname: page-component-7479d7b7d-68ccn Total loading time: 0 Render date: 2024-07-12T04:45:39.433Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability Criteria, with Special Reference to the Sextic Equation

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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