Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system |
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| Authors: | Ya. O. Grudo A. I. Kalinin |
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| Affiliation: | (1) Belarussian State University, pr. Nezavisimosti 4, Minsk, 220050, Belarus |
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| 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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| Keywords: | time-optimal control nonlinear system singular perturbations asymptotic approximations |
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