Khoroshun A. The Lyapunov functions method in problems of stability control and stabilization of uncertain multiple time scale mechanical systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0519U001054

Thesis Registration Form

0519U001054.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

26-03-2019

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The dissertation is devoted to using of the Lyapunov functions method for the investigation of the dynamical characteristics of uncertain multiple time scale systems of differential equations, which are the mathematical models of the real mechanical systems. The Lyapunov functions method is developed to take into account the mobility of the equilibrium state of the system of differential equations and the presence of a parameter in it which determines the ratio of the velocities of ''fast'' and ''slow'' motions. A method of control construction that ensures the desired dynamics of the trajectories of ''underactuated'' mechanical systems is developed.

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Files

Автореферат_ХорошунАС.pdf

Дисертація_ХорошунАС.pdf

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