Ignat'yev O. Stability and optimal stabilization of nonautonomous systems with application to the problems of rigid bodies dynamics

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U002066

Thesis Registration Form

0402U002066.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

14-06-2002

Specialized Academic Board

Д11.193.01

Essay

The theorems on equiasymptotic and partial equiasymptotic stability of almost periodic systems are proved. Using these results the problems of equiasypmtotic stability and stabilization of motion of rigid body with displaced center of gravity and the motions of symmetric rigid body, which is fastened in the center of gravity, are solved. A mathematical model of the blade screw is constructed. Nessesary and sufficient conditions of asymptotical stability of permanent and nonpermanent rotations of the screw are investigated. Theorem on optimal stabilization of almost periodic systems is proved.

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