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On the limit matrix obtained in the homogenization of an optimal control problem

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Abstract

A new formulation for the limit matrix occurring in the cost functional of an optimal control problem on homogenization is obtained. It is used to obtain an upper bound for this matrix (in the sense of positive definite matrices).

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, 600 113, Chennai, India

    S. Kesavan

  2. Department of Mathematics, Indian Institute of Science, 560 012, Bangalore, India

    S. Kesavan & M. Rajesh

Authors
  1. S. Kesavan
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  2. M. Rajesh
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Kesavan, S., Rajesh, M. On the limit matrix obtained in the homogenization of an optimal control problem. Proc. Indian Acad. Sci. (Math. Sci.) 112, 337–346 (2002). https://doi.org/10.1007/BF02829758

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  • DOI: https://doi.org/10.1007/BF02829758

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