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Information × Registration Number 0206U000095, 0101U001094 , R & D reports Title Mathematical methods for investigations of and stability and control problems of dynamical systems their application to rigid bodies systems dynamics popup.stage_title Head Kovalev Alexander Mihajlovich, Registration Date 12-01-2006 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 Objects of investigation – a rigid body and interacting multibody systems. The problem of inclusion invariant manifolds of a dynamical system into the family of its integral ones is solved. It is proved that motions equations of semi-closed system of rigid bodies coincide with the equations of small oscillations of the Timoshenko beam. Stability problems for discrete systems and invariant manifolds and also for systems with delay and impulsive effect are studied. The influence of partially dissipative forces on the stability of a relative equibrium is investigated. Stabilizability conditions are obtained for control-affine systems with two-dimensional homogeneous vector fields. Issues of invertibility of chaotic dynamical systems, used for information encoding, are analyzed. Product Description popup.authors popup.nrat_date 2020-04-02 Close