References
N. M. Krylov and N. N. Bogolyubov, Introduction to Nonlinear Mechanics [in Russian], Izd. Akad. Nauk UkrSSR (1937).
V. M. Volosov, "Averaging in systems of ordinary differential equations," UMN,17, No. 6, 3–126 (1962).
V. A. Plotnikov, "Averaging of differential inclusions," Ukr. Mat. Zh.,31, No. 2, 166–171 (1979).
V. I. Blagodatskikh and A. F. Filippov, "Differential inclusions and optimal control," Tr. MI Akad. Nauk SSSR,169, 194–252 (1985).
A. F. Filippov, "On some topics in optimal control theory," Vestn. MGU, No. 2, 25–32 (1959).
O. P. Filatov and M. M. Khapaev, "Averaging of differential inclusions with ‘fast’ and ‘slow’ variables," Mat. Zametki,47, No. 6, 102–109 (1990).
O. P. Filatov and M. M. Khapaev, "On joint ε-approximation of solutions of a system of differential inclusions and the averaged inclusion," Mat. Zametki,47, No. 5, 127–134 (1990).
O. P. Filatov, "On the existence of averaged differential inclusions," Diff. Uravn.,25, No. 12, 2118–2127 (1989).
Additional information
Translated from Upravlenie Nelineinymi Sistemami, Vsesoyuznyi Nauchno-Issledovatel'skii Institut Sistemnykh Issledovanii, Sbornik Trudov, No. 4, pp. 14–22, 1991.
Rights and permissions
About this article
Cite this article
Filatov, O.P. Averaging of a system of differential inclusions. Comput Math Model 5, 10–17 (1994). https://doi.org/10.1007/BF01128573
Issue Date:
DOI: https://doi.org/10.1007/BF01128573