On the property of equal ratios in the problem of boundary vector control of elastic vibrations described by Fredholm integro-differential equations

Kerimbekov, Akylbek; Abdyldaeva, Elmira

doi:10.21538/0134-4889-2016-22-2-163-176

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2019

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“…A number of studies were researched by authors in this scientific direction and interesting new results were obtained. For example, in [4], it was established that system of nonlinear integral equations, where solution is the optimal vector control, have the property of equal relations. It is a novelty in the optimal control theory for systems with distributed parameters.…”

Section: Introductionmentioning

confidence: 99%

Solvability of optimization problem for the oscillation processes with optimal vector controls

Abdyldaeva

Kerimbekov

2019

Filomat

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The optimal control problem is investigated for oscillation processes, described by integrodifferential equations with the Fredholm operator when functions of external and boundary sources nonlinearly depend on components of optimal vector controls. Optimality conditions having specific properties in the case of vector controls were found. A sufficient condition is established for unique solvability of the nonlinear optimization problem and its complete solution is constructed in the form of optimal control, an optimal process, and a minimum value of the functional.

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Section: Introductionmentioning

confidence: 99%