Kichmarenko O. Averaging in control problems with delay

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U000846

Applicant for

Specialization

  • 01.01.09 - Варіаційне числення та теорія оптимального керування

11-02-2005

Specialized Academic Board

К 41.051.05

Essay

The numerically-asymptotic method of an optimal control problem solving for systems with delay is developed on the basis of application of the averaging method of the controlled motion equations, the estimation of attainability sets for these systems has been obtained. The averaging method for the controlled differential equations with Hukuhara derivative and delay and for the quasidifferential equations with delay in locally compact metric space is proved, the numerically-asymptotic method of solving of optimal control problem of trajectories bundles is obtained.

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