The maximum principle in optimal control problems with concentrated and distributed delays in controls
Author(s) -
G. L. Kharatishvili,
Tamaz Tadumadze
Publication year - 1995
Publication title -
georgian mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.277
H-Index - 27
eISSN - 1572-9176
pISSN - 1072-947X
DOI - 10.1007/bf02262855
Subject(s) - mathematics , monotone polygon , optimal control , absolute continuity , nonlinear system , maximum principle , mathematical optimization , control (management) , control theory (sociology) , mathematical analysis , computer science , geometry , artificial intelligence , physics , quantum mechanics
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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