Martynyuk-Cherniyenko Y. Motion stability conditions for nonlinear systems with uncertain parameters

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U002512

Thesis Registration Form

0401U002512.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

11-09-2001

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The thesis deals with qualitative analysis of motion of nonlinear mechanical systems with finite number of degrees of freedom and uncertain parameters. Generalized is the direct Lyapunov method for investigation of motion stability with respect to a moving invariant manifold. For the first time it is proposed and well-founded to apply the canonical matrix Lyapunov function in the study of dynamics of quasilinear system with uncertain parameter values in the interconnection functions. New motion stability conditions are established for the large scale systems with respect to the moving invariant sets.

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