Khoroshun A. The sufficient conditions of parametrical stability of the quasilinear mechanical systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U005309

Thesis Registration Form

0408U005309.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

09-12-2008

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The thesis is devoted to investigation of parametric stability of the nonlinear imprecise autonomous systems, which have variable equilibrium. A new approach for determination of the region in the space of parameters for which the equilibrium of researched system exists is proposed. The sufficient conditions of parametric asymptotic stability of the nonlinear imprecise autonomous systems are established. These conditions don’t require the establishing of the variable equilibrium. Also the sufficient conditions of the global parametric quadratic stabilizability and absolute parametric stability of Lur’e systems are established. On the basis of the proposed approaches it is investigated the movement of system of the material points with variable bonds.

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