Sujkov A. Stability of motion and estimation of attraction domains of mechanical systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U004310

Thesis Registration Form

0410U004310.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

14-09-2010

Specialized Academic Board

Д 11.193.01

Essay

An explicit strong Lyapunov function is obtained for systems satisfying the conditions of Barbashyn-Krasovskii theorem using some results from invariant set theory. The problem of choosing a Lyapunov function giving the optimal estimate of the region of attraction is considered for autonomous dynamic systems. Conditions for the optimality criteria are stated. Estimates of the region of attraction are obtained for several dynamic systems using polynomial Lyapunov functions of different degree as well as maximal Lyapunov functions. For the problem of rigid body motion around a fixed point with energy dissipation some asymptotic estimates for motion characteristics are obtained using Lyapunov functions.

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Files

aref.pdf

diss.pdf

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