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Averaging method in some problems of optimal control. (English. Ukrainian original) Zbl 1277.49034
Nonlinear Oscil., N.Y. 11, No. 4, 539-547 (2008); translation from Nelinijni Kolyvannya 11, No. 4, 512-519 (2008).
Summary: We substantiate the application of the averaging method to the optimal-control problem for systems of differential equations in the standard Bogolyubov form. An \(\varepsilon\)-optimal control is constructed.

MSC:
49K40 Sensitivity, stability, well-posedness
49K15 Optimality conditions for problems involving ordinary differential equations
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References:
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