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Optimal control for systems described by evolution equations degenerated at the initial moment (in Ukrainian)
Journal: Matematychni Studii (Vol.38, No. 2)Publication Date: 2012-11-01
Authors : Bokalo M. M.; Tsebenko A. M.;
Page : 177-187
Keywords : optimal control; final observation; evolution degenerated equation; problem without initial conditions;
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Abstract
We prove the existence and uniqueness of the solutions of the optimal control problems for systems described by evolution equations degenerated at the initial moment. A characterization is given for the solutions of the considered problems. We also consider in detail the case of the final observation and obtain a set of correlations that characterize the optimal controls.
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