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Optimal fields for problems with delays

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Abstract

The theory of optimal fields is developed for optimal control problems in which the state variables are solutions of integral equations with delayed arguments. The maximum principle obtained reflects the effects of the delay in the control argument. The Hamilton-Jacobi equations are derived for this problem.

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References

  1. Hestenes, M. R.,Calculus of Variations and Optimal Control Theory, John Wiley and Sons, New York, New York, 1966.

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  2. Bakke, V. L., andGuinn, T.,Optimal Fields for Integral Equations, Journal of Mathematical Analysis and Applications, Vol. 64, No. 3, 1978.

  3. Bakke, V. L.,Boundary Arcs for Integral Equations, Journal of Optimization Theory and Applications, Vol. 19, No. 3, 1976.

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Authors and Affiliations

  1. University of Arkansas, Fayetteville, Arkansas

    V. L. Bakke (Associate Professor)

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  1. V. L. Bakke
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Communicated by L. D. Berkovitz

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Bakke, V.L. Optimal fields for problems with delays. J Optim Theory Appl 33, 69–84 (1981). https://doi.org/10.1007/BF00935177

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  • DOI: https://doi.org/10.1007/BF00935177

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