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Terminal control of boundary models

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Abstract

A terminal optimal control problem for finite-dimensional static boundary models is formulated. The finite-dimensional models determine the initial and terminal states of the plant. The choice of an optimal control drives the plant from one state to another. A saddle-point method is proposed for solving this problem. The convergence of the method in a Hilbert space is proved.

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    A. S. Antipin

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  1. A. S. Antipin
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Correspondence to A. S. Antipin.

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Original Russian Text © A.S. Antipin, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 2, pp. 257–285.

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Antipin, A.S. Terminal control of boundary models. Comput. Math. and Math. Phys. 54, 275–302 (2014). https://doi.org/10.1134/S096554251402002X

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  • DOI: https://doi.org/10.1134/S096554251402002X

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