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Control problems with intermediate constraints

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Abstract

Necessary conditions are obtained for the general control problem with the minimizing are required to pass through intermediate-constraint manifolds. It is shown that this includes cases where the integrand or the region of admissibility changes at the constraint points.

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References

  1. Denbow, C. H.,A Generalized Form of the Problem of Bolza, Contributions to the Calculus of Variations, 1933–1937, University of Chicago Press, Chicago, 1937.

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

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  4. Hestenes, M. R.,On Variational Theory and Optimal Control Theory, SIAM Journal on Control, Vol. 3, No. 1, 1965.

Additional Bibliography

  1. Nathanson, W. I.,A Control Theory Bolza Problem with Intermediate Constraints, University of California at Los Angeles, Ph.D. Thesis, 1970.

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Authors and Affiliations

  1. San Fernando Valley State College, Northridge, California

    Weston I. Nathanson (Assistant Professor of Mathematics)

Authors
  1. Weston I. Nathanson
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Communicated by M. R. Hestenes

This research was partly sponsored by the Office of Naval Research under contract NONR-233(76).

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Nathanson, W.I. Control problems with intermediate constraints. J Optim Theory Appl 8, 256–270 (1971). https://doi.org/10.1007/BF00931882

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  • DOI: https://doi.org/10.1007/BF00931882

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