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Stability Criteria for Linear Equations with Time-Varying Coefficients

Published online by Cambridge University Press:  28 July 2016

P. E. W. Grensted
P. E. W. Grensted*
Affiliation:
Department of Engineering, Cambridge University
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Extract

Recent interest has been shown in stability problems in which the parameters in the relevant characteristic equations are not constant. For instance, the coefficients in the characteristic equation for the stability of flutter of an aeroplane's wings are functions of the speed of the aircraft. When the aircraft is accelerating or decelerating it is therefore necessary to consider whether the resulting variation of the coefficients is sufficiently rapid to invalidate a calculation of stability which is based on the assumption that the coefficients are constant. Similar stability problems arise in connection with guided missiles.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 60 , Issue 543 , March 1956 , pp. 205 - 208
Copyright
Copyright © Royal Aeronautical Society 1956

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References

1. Szegö, G. (1939). Orthogonal Polynomials. Mathematical Society, p. 161, 1939.CrossRefGoogle Scholar