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Homogenization of an Optimal Control Problem with State-constraints

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Abstract

Homogenization of an optimal control problem, whose state equations and cost functionals involve rapidly oscillating coefficients, with constraints on state is studied in the framework of Γ-convergence. The problem is considered in both perforated and non-perforated domains. The case where the cost of the control is of the order of the parameter is also considered.

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Authors and Affiliations

  1. Institute of Mathematical Sciences, C.I.T. Campus, Chennai, 600113, India

    S. Kesavan

  2. Department of Mathematics & Statistics, Indian Institute of Technology, Kanpur, 208016, India

    T. Muthukumar

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  1. S. Kesavan
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  2. T. Muthukumar
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Correspondence to T. Muthukumar.

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Kesavan, S., Muthukumar, T. Homogenization of an Optimal Control Problem with State-constraints. Differ Equ Dyn Syst 19, 361–374 (2011). https://doi.org/10.1007/s12591-011-0097-z

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  • DOI: https://doi.org/10.1007/s12591-011-0097-z

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