Journal of Optimization Theory and Applications

, Volume 6, Issue 6, pp 424–452 | Cite as

On general problems with bounded state variables

  • I. Bert Russak
Contributed Papers

Abstract

This paper serves as the sequel to a recent article by the author concerned with a certain canonical control problem. The present paper extends the first-order necessary conditions obtained there to a general form of the control problem of Bolza with inequality state constraints of the type ψα(t, x)≤0, α=1,...,m.

Keywords

Bounded State Control Problem General Problem Recent Article State Constraint 

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References

  1. 1.
    Russak, I. B.,On Problems with Bounded State Variables, Journal of Optimization Theory and Applications, Vol. 5, No. 2, 1970.Google Scholar
  2. 2.
    Russak, I. B.,On Problems with Bounded State Variables, University of California at Los Angeles, Ph.D. Thesis, 1967.Google Scholar
  3. 3.
    Hestenes, M. R.,Calculus of Variations and Optimal Control Theory, John Wiley and Sons, New York, 1966.Google Scholar

Additional Bibliography

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

Copyright information

© Plenum Publishing Corporation 1970

Authors and Affiliations

  • I. Bert Russak
    • 1
  1. 1.TRW Systems GroupRedondo Beach

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