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Note on the mean-square strategy for vector-valued objective functions

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Abstract

The problem of minimizing a vector-valued objective function is considered, and a mean-square strategy is derived.

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References

  1. Zadeh, L. A.,Optimality and Non-Scalar-Valued Performance Criteria, IEEE Transactions on Automatic Control, Vol. AC-8, No. 1, 1963.

  2. Starr, A. W., andHo, Y. C.,Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 3, 1969.

  3. Chu, K. C.,On the Non-Inferiority Set for the System with Vector-Valued Objective Function, IEEE Transactions on Automatic Control, Vol. AC-15, No. 5, 1970.

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Communicated by Y. C. Ho

The author would like to thank Professors L. W. Neustadt and Y. C. Ho for many valuable comments on an early version of this note.

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Huang, S.C. Note on the mean-square strategy for vector-valued objective functions. J Optim Theory Appl 9, 364–366 (1972). https://doi.org/10.1007/BF00932935

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  • DOI: https://doi.org/10.1007/BF00932935

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