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Approximate Solution of Optimization Problems for Infinite-Dimensional Singular Systems

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Abstract

An optimal control problem is considered for a system described by a singular equation of parabolic type. The study bases on a special regularization method. We establish existence of a solution to the regularized problem, as well as the corresponding necessary optimality conditions. The results enable us to find an approximate solution to the original problem even in the absence of solvability.

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Authors and Affiliations

  1. Al-Farabi Kazakhstan National University, Almaty

    S. Ya. Serovaiskii

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  1. S. Ya. Serovaiskii
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Serovaiskii, S.Y. Approximate Solution of Optimization Problems for Infinite-Dimensional Singular Systems. Siberian Mathematical Journal 44, 519–528 (2003). https://doi.org/10.1023/A:1023873000582

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