Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints |
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Authors: | Elimhan N Mahmudov |
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Affiliation: | 1.Department of Mathematics,Istanbul Technical University,Istanbul,Turkey;2.Azerbaijan National Academy of Sciences,Institute of Control Systems,Baku,Azerbaijan |
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Abstract: | The present paper deals with the optimal control theory given by second-order differential inclusions (P C ) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t 1-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (L A M s) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions. |
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