On second-order necessary optimality conditions in the classical sense for systems with nonlocal conditions |
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Authors: | Ya A Sharifov N B Mamedova |
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Institution: | 1.Institute of Cybernetics, National Academy of Sciences,Baku State University,Baku,Azerbaijan |
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Abstract: | We consider an optimal control problem in which the state of a system is described by control systems of ordinary differential equations with two-point boundary conditions. The admissible controls are chosen in the class of bounded measurable functions. We derive a formula for the increment of a second-order functional. On the basis of control variations, we obtain necessary optimality conditions for singular controls in the classical sense. |
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