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Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system

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Abstract

The optimization of a transient process in a linear singularly perturbed system is considered. The goal is to find a (multidimensional) control of minimal intensity. An algorithm for constructing asymptotic approximations to the solution of the problem is proposed. The main advantage of the algorithm is that the original problem decomposes into optimal control problems of lower dimension.

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Authors and Affiliations

  1. Belarussian State University, pr. Nezavisimosti 4, Minsk, 220030, Belarus

    A. I. Kalinin

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  1. A. I. Kalinin
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Correspondence to A. I. Kalinin.

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Original Russian Text © A.I. Kalinin, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 12, pp. 2115–2125.

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Kalinin, A.I. Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system. Comput. Math. and Math. Phys. 51, 1989–1999 (2011). https://doi.org/10.1134/S0965542511120128

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  • DOI: https://doi.org/10.1134/S0965542511120128

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