The maximum principle in optimal control problems with concentrated and distributed delays in controls |
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| Authors: | G. Kharatishvili T. Tadumadze |
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| Affiliation: | (1) Institute of Cybernetics, Georgian Academy of Sciences, 5, S. Euli St., 380086 Tbilisi, Republic of Georgia;(2) I. Vekua Institute of Applied Mathematics, Tbilisi State University, 2, University St., 380043 Tbilisi, Republic of Georgia |
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| Abstract: | In the present work there has been posed and studied a general nonlinear optimal problem and a quasi-linear optimal problem with fixed time and free right end. It contains absolutely continuous monotone delays in phase coordinates and absolutely continuous monotone and distributed delays in controls. For these problems the necessary and, respectively, sufficient conditions of optimality in the form of the maximum principle have been proved. |
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| Keywords: | 49K25 |
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