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The typical property of a conditional stability of an aircraft

Abstract

The conditional stability of the nonlinear Lagrange equations for a longitudinal flight of the aircraft is proved. The approach is based on the stability of the linear first approximation system of equations for such flights. The proof is based on Millionschikov’ theorem on generic conservation (by Baire) of the conditional exponential stability property.

About the Authors

I. A. Galiullin
МАИ
Russian Federation


O. G. Illarionova
МГТУ ГА
Russian Federation


References

1. Godbijon K. Differencial'naja geometrija i analiticheskaja mehanika (Differential Geometry and Analytical Mechanics), Moscow, Mir, 1973, 215 p.

2. Galiullin I.A. Izvestija Vuzov – Matematika, 2001, vol. 10(473), pp. 11-17.

3. Millionshhikov V.M. Differencial'nye uravnenija, 1983, vol. XIX, № 6. p. 1091.

4. Millionshhikov V.M. Differencial'nye uravnenija, 1980. vol. XVI, № 8, pp. 1408-1416.

5. Illarionova O.G. Differencial'nye uravnenija, 1991, vol. 27, № 6, pp. 958-963.

6. Miele A. Mehanika poljota. Tom I (Mechanics of Flight. Volume I), Moscow, Nauka, 1965, 334 p.


Review

For citations:


Galiullin I.A., Illarionova O.G. The typical property of a conditional stability of an aircraft. Civil Aviation High Technologies. 2015;(220):114-118. (In Russ.)

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ISSN 2079-0619 (Print)
ISSN 2542-0119 (Online)