Документ взят из кэша поисковой машины. Адрес оригинального документа : http://pont2008.cmc.msu.ru/files/en/abstracts/IlyinMoiseev.pdf Дата изменения: Mon Jan 7 23:54:22 2008 Дата индексирования: Mon Oct 1 20:00:41 2012 Кодировка:

Determination of the Explicit Analytical Typ es of the Optimal Boundary Controls of the String Vibration Pro cess Vladimir A. Ilin Moscow State University, Russia e-mail: iline@cs.msu.su Eugenii I. Moiseev Moscow State University, Russia e-mail: decan@cs.msu.su For different boundary control problems an explicit analytical type of optimal boundary control is obtained in terms of the generalized solution of the wave equation from the class that allows the existence of final energy. This solution minimizes the integral of the boundary energy under the conditions of connection following from satisfaction of the given initial and final conditions, and under the conditions of agreement of the initial and final conditions.

References
[1] V.A. Il'in, E.I. Moiseev, Dokladi Akademii Nauk, v. 411, No. 6, 736-740 (2006). (in Russian). [2] V.A. Il'in, E.I. Moiseev, Dokladi Akademii Nauk, v. 417, No. 1, 12-17 (2007). (in Russian). [3] V.A. Il'in, E.I. Moiseev, Dokladi Akademii Nauk, v. 417, No. 2, 160-166 (2007). (in Russian). [4] V.A. Il'in, E.I. Moiseev, Dokladi Akademii Nauk, v. 417, No. 3, 308-312 (2007). (in Russian). [5] V.A. Il'in, E.I. Moiseev, Dokladi Akademii Nauk, v. 417, No. 4, 456-463 (2007). (in Russian). [6] V.A. Il'in, E.I. Moiseev, Differensial'nie Uravnenia, v. 42, No. 11, 1558-1570 (2006). (in Russian). [7] V.A. Il'in, E.I. Moiseev, Differensial'nie Uravnenia, v. 42, No. 12, 1669-1711 (2006). (in Russian). [8] V.A. Il'in, E.I. Moiseev, Differensial'nie Uravnenia, v. 43, No. 10, 1369-1381 (2007). (in Russian).


[9] V.A. Il'in, E.I. Moiseev, Differensial'nie Uravnenia, v. 43, No. 11, 1528-1544 (2007). (in Russian). [10] V.A. Il'in, E.I. Moiseev, Differensial'nie Uravnenia, v. 43, No. 12, 1655-1663 (2007). (in Russian). [11] V.A. Il'in, E.I. Moiseev, Differensial'nie Uravnenia, v. 44, No. 1, 89110 (2008). (in Russian, to be printed). [12] V.A. Il'in, Differensial'nie Uravnenia, v. 44, No. 3, (2008). (in Russian, to be printed).

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