Lyla D. The sufficient conditions of stability of the large-scale non-stationary mechanical systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U005911

Thesis Registration Form

0409U005911.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

22-12-2009

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The thesis is devoted to ascertainment of the new sufficient conditions of stability of the large-scale non-stationary systems and to their application to the models of oscillating mechanical systems. Basing on the auxiliary matrix-valued functions the construction and use to solving of the stability problems of Liapunov's functions for linear and essentially nonlinear systems with quasi-periodic coefficients and for linear periodic systems are fulfilled. The problem of stability of stationary motions of mathematical pendulum, interacting with elastic string, and the problem of stability of regular signals of the synchronous lasers generation are solved.

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