Babenko S. Motion stability of continuous-discrete large-scale mechanical systems under structure perturbations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U007508

Thesis Registration Form

0411U007508.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

27-12-2011

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The thesis is devoted to investigation of stability under structure perturbations and the connective stability of the equilibrium state of the large-scale mechanical systems described by dynamic equations on time scale. On the base of discontinuous by time, auxiliary Lyapunov's functions the sufficient conditions of asymptotic stability under structure perturbations of the equilibrium states of mechanical systems, which are described by the large-scale linear periodic systems of dynamic equations, and the sufficient conditions of connective stability of the critical equilibrium states of the mechanical systems, which are described by the large-scale nonlinear systems of dynamic equations, are obtained.

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Files

aref.doc

dis.pdf

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