On motion stability relative to a part of the variables under persistent perturbations
For linear systems a relation between the coefficients of the characteristic equation of the auxiliary system and the coefficients of the original one are given. From this an algebraic condition for the asymptotic y-stability of linear stationary systems is derived, for the complete controllability and an analogue of Popov's criterion. Stability of the motion of a solid body with one fixed point and under persistent perturbation is investigated.
scientific article; zbMATH DE number 3881090
scientific article