Today the “Optimal Control” department was held the head research of the department, Rovshan Bandaliyev “An analogue of the Pontryagin maximum principle for optimal control problems described by fractional order differential equations”.

In this report we discuss a new general formulation of fractional optimal control problems whose performance index is in the fractional integral form and the dynamics were given by a set of fractional differential equations in the Caputo sense. Note that a new approach to prove necessary conditions of optimality in the form of Pontryagin maximum principle for fractional optimal control problems. This new approach is based on a generalization of the Mittag-Leffler function is used to solving this class of fractional optimal control problems (continuation).

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