{"id":25954,"date":"2019-09-19T14:49:26","date_gmt":"2019-09-19T10:49:26","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=25954"},"modified":"2019-09-19T14:49:45","modified_gmt":"2019-09-19T10:49:45","slug":"the-seminar-of-the-department-an-analogue-of-the-pontryagin-maximum-principle-for-optimal-control-problem-described-by-ordinary-fractional-order-differential-equation-in-weighted-lebesgue-spa","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2019\/09\/19\/the-seminar-of-the-department-an-analogue-of-the-pontryagin-maximum-principle-for-optimal-control-problem-described-by-ordinary-fractional-order-differential-equation-in-weighted-lebesgue-spa\/","title":{"rendered":"The seminar of the Department \u201cAn analogue of the Pontryagin maximum principle for optimal control problem described by ordinary fractional order differential equation in weighted Lebesgue spaces\u201d was held"},"content":{"rendered":"

Today the \u201cOptimal Control\u201d department was held its regular seminar. The head research of the department \u201cMathematical Analysis\u201d, dr. sci. Rovshan Bandaliyev gave a talk on \u201cAn analogue of the Pontryagin maximum principle for optimal control problem described by ordinary fractional order differential equation in weighted Lebesgue spaces\u201d.<\/p>\n

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. The statement of fractional optimal control problem was studied by using a version of the increment method that essentially uses the concept of an adjoint equation of the integral form.<\/p>\n