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Approximation methods in optimal control problems for nonlinear infinite-dimensional systems

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Abstract

Some notions related to approximate solutions and to the approximation of extremum problems for nonlinear infinite-dimensional systems are proposed. Optimization problems for nonlinear parabolic equations with a fixed terminal state and on an infinite time interval, as well as for singular stationary systems with phase constraints, are illustrated by several examples.

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  1. Al-Farabi Kazakh National University, Kazakhstan, Russia

    S. Ya. Serovaiskii

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  1. S. Ya. Serovaiskii
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Correspondence to S. Ya. Serovaiskii.

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Original Russian Text © S. Ya. Serovaiskii, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 4, pp. 600–619.

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Serovaiskii, S.Y. Approximation methods in optimal control problems for nonlinear infinite-dimensional systems. Math Notes 94, 567–582 (2013). https://doi.org/10.1134/S0001434613090277

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