Technical stability of solutions of nonlinear differential equations of controlled vertical motion of an elastic body for a given measure

Sufficient conditions for the technical stability for a given measure of nonlinear dynamic states of a long elastic flying system for its controlled vertical motion are derived. The influence of changes in sectional area, transversal deformations, and vibrations of flying vehicles are taken into account. The technical stability criteria depend on the main parameters of the control process and lateral load increment due to distortion of the longitudinal axis of the system and aerodynamical forces in vertical flight.Translated from Avtomatika i Telemekhanika, No. 1, 2005, pp. 13–28.Original Russian Text Copyright © 2005 by Matviychuk.This paper was recommended for publication by V.N. Bukov, a member of the Editorial Board