Molchanyuk I. The control differential systems with the fuzzy parameters

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U001693

Applicant for

Specialization

  • 01.01.09 - Варіаційне числення та теорія оптимального керування

25-02-2011

Specialized Academic Board

К41.051.05

Essay

In dissertation linear differential control systems with fuzzy parameters in the right-hand side are considered. The conditions of convexity and compactness of the attainable set are obtained. The speed problems and of meeting of N fuzzy objects and problems with the fuzzy quality criteria are considered, the necessary and sufficient conditions of optimality are obtained. The concepts of pi-optimality of controls from the theory of a multicriteria optimization of systems in the conditions of the incomplete information have been extended to fuzzy controlled systems. The conditions of existence and conditions of optimality are proved. The substantiation of the averaging scheme for fuzzy controlled inclusions with fuzzy right-hand side is obtained.

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