Abstract
The time-optimal control problem for a nonlinear singularly perturbed system with multidimensional controls bounded in the Euclidean norm is considered. An algorithm for constructing asymptotic approximations to its solution is proposed. The main advantage of the algorithm is that the original optimal control problem decomposes into two unperturbed problems of lower dimensions.
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Original Russian Text © Ya.O. Grudo, A.I. Kalinin, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 11, pp. 1942–1951.
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Grudo, Y.O., Kalinin, A.I. Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system. Comput. Math. and Math. Phys. 48, 1945–1954 (2008). https://doi.org/10.1134/S0965542508110043
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DOI: https://doi.org/10.1134/S0965542508110043