Sasonkina M. Practical stability and practical stabilization of discrete inclusions.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U003677

Applicant for

Specialization

  • 01.01.09 - Варіаційне числення та теорія оптимального керування

31-05-2013

Specialized Academic Board

К 41.051.05

Essay

The aim of this thesis is to investigate practical stability and practical stabilization of discrete inclusions. We prove compactness of initial condition optimal sets in the problem of strong and weak practical stability for discrete inclusions. We proved optimal sets practical stability of discrete inclusions approximation method, equations with Hukuhara derivative, fuzzy differential equations. We obtain approximation of for the maximal by inclusion set of practical stability of linear differential inclusion. We prove compactness and criteria for a point to be on the border of practical stability sets of discrete inclusion.

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