Автоматика / Automatiсs

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    On differential games under convex integral constrains on controls
    (Видавництво Львівської політехніки, 2018-09-18) Belousov, A. A.; Glushkov Institute of Cybernetics NAS of Ukraine
    The paper deals with the problem of the approach of a trajectory of a linear conflict-controlled process to a linear subspace in the case of convex integral constraints on the player’s controls. Using the technique of set-valued mappings and convex analysis (epigraph of a function, recession cone), we obtain sufficient conditions for problem solvability in the class of measurable controls.
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    Optimization of conflict-controlled processes
    (Видавництво Львівської політехніки, 2018-09-18) Chikrii, A. A.; Chikrii, G. Ts.; Glushkov Institute of Cybernetics NASU
    The paper deals with the game problem on approaching the cylindrical terminal set by a trajectory of the quasi-linear system. Concepts of upper, lower and matrix resolving functions are introduced in the form of selections of special set-valued mappings.