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ON JUSTIFICATION OF THE SOLUTION OF A RECONSTRUCTION PROBLEM FOR A CLASS OF NON-LINEAR MODELS

Annotation

A dynamic reconstruction method using known measurements is described for a class of nonlinear controlled systems. The method is based on Pontryagin’s maximum principle and Tikhonov’s regularization method for auxiliary problem of optimal control with a determined target set.

Keywords

dynamic reconstruction; Pontryagin’s maximum principle; optimal control

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UDC

517.977

Pages

1222-1225

References

1. OsipovYu.S., Vasil'ev F.P.,Potapov M.M. Osnovy metoda dinamicheskoy regulyarizatsii. M.: Izd-vo MGU, 1999. 237 s. 2. Tikhonov A.N. Ob ustoychivosti obratnykh zadach // DAN SSSR. 1943. T. 39, № 4. S. 195–198. 3. Krasovskiy N.N. Teoriya upravleniya dvizheniem. M.: Nauka, 1968. 476 s. 4. Subbotina N.N., Tokmantsev T.B. Issledovanie ustoychivosti resheniya obratnykh zadach dinamiki upravlyaemykh sistem po otnosheniyu k vozmushcheniyam vkhodnykh dannykh // Trudy IMM UrO RAN. 2014. T. 20. № 3. S. 218-233. 5. Pontryagin L.S., Boltyanskiy V.G., Gamkrelidze R.V., Mishchenko E.F. Matematicheskaya teoriya optimal'nykh protsessov. M.: Nauka, 1961. 393 s. 6. Subbotina N.N., Kolpakova E.A., Tokmantsev T.B., Shagalova L.G Metod kharakteristik dlya uravneniya Gamil'tona–Yakobi–Bellmana. Ekaterinburg: RIO UrO RAN, 2013. 244 s. 7. Al'brekht E.G.Metodika postroeniya i identifikatsii matematicheskikh modeley makroekonomicheskikh protsessov // Elektronnyy zhurnal .Issledovano v Rossii.. 2002. №5. C. 54-86. URL: http://zhurnal.ape.relarn.ru/articles/2002/005.pdf

Received

2015-05-26

Section of issue

Scientific articles

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