Extragradient methods for optimal control problems with linear restrictions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 3, pp. 2-20

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This paper contains the method for the optimal control problem regarding linear dynamic system. The iterative extragradient process is constructed. Convergence of the method is proved.
Keywords: optimal control, Lagrange function, extragradient method
Mots-clés : convergence.
A. S. Antipin; E. V. Horoshilova. Extragradient methods for optimal control problems with linear restrictions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 3, pp. 2-20. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_3_a0/
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[1] A. S. Antipin, “Iterativnye metody prognoznogo tipa dlya vychisleniya nepodvizhnykh tochek ekstremalnykh otobrazhenii”, Izv. vuzov. Matematika, 1995, no. 11, 17–27 | MR | Zbl

[2] A. S. Antipin, “O differentsialnykh gradientnykh metodakh prognoznogo tipa dlya vychisleniya nepodvizhnykh tochek ekstremalnykh otobrazhenii”, Differents. uravneniya, 31:11 (1995), 1786–1795 | MR | Zbl

[3] A. S. Antipin, “Ravnovesnoe programmirovanie: metody gradientnogo tipa”, Avtomatika i telemekhanika, 1997, no. 8, 1337–1347 | MR | Zbl

[4] A. S. Antipin, “Ravnovesnoe programmirovanie: proksimalnye metody”, Zhurn. vychisl. matematiki i mat. fiziki, 37:11 (1997), 1327–1339 | MR | Zbl

[5] A. S. Antipin, “Upravlyaemye proksimalnye differentsialnye sistemy dlya resheniya sedlovykh zadach”, Differents. uravneniya, 28:11 (1992), 1846–1861 | MR | Zbl

[6] V. Boss, Lektsii po matematike. Differentsialnye uravneniya, Editorial URSS, M., 2004, 208 pp.

[7] V. Boss, Lektsii po matematike. Nelineinye operatory i nepodvizhnye tochki, Kn. dom LIBROKOM, M., 2010, 224 pp.

[8] O. V. Vasilev, A. V. Arguchintsev, Metody optimizatsii v zadachakh i uprazhneniyakh, Fizmatlit, M., 1999, 208 pp.

[9] F. P. Vasilev, Metody optimizatsii, Faktorial Press, M., 2002, 824 pp.

[10] Yu. G. Evtushenko, Metody resheniya ekstremalnykh zadach i ikh primenenie v sistemakh optimizatsii, Nauka, M., 1982, 432 pp. | MR | Zbl

[11] V. A. Srochko, Iteratsionnye metody resheniya zadach optimalnogo upravleniya, Fizmatlit, M., 2000, 160 pp.

[12] V. A. Trenogin, Funktsionalnyi analiz, Fizmatlit, M., 2002, 488 pp.