Finding candidate singular optimal controls: A state of the art survey (original) (raw)

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References

  1. Bell, D. J., andJacobson, D. H.,Singular Optimal Control Problems, Academic Press, New York, New York, 1975.
    Google Scholar
  2. Athans, M., andFalb, P. L.,Optimal Control, McGraw-Hill, New York, New York, 1966.
    Google Scholar
  3. Bryson, A. E., andHo, Y. C.,Applied Optimal Control, Blaisdell, Waltham, Massachusetts, 1969.
    Google Scholar
  4. Gabasov, R., andKirillova, F. M.,High-Order Necessary Conditions for Optimality, SIAM Journal on Control, Vol. 10, pp. 127–168, 1972.
    Google Scholar
  5. Maurer, H.,Numerical Solution of Singular Control Problems Using Multiple Shooting Techniques, Journal of Optimization Theory and Applications, Vol. 18, pp. 235–257, 1976.
    Google Scholar
  6. Powers, W. F.,On the Order of Singular Optimal Control Problems, Journal of Optimization Theory and Applications, Vol. 32, pp. 479–489, 1980.
    Google Scholar
  7. Robbins, H. M.,A Generalized Legendre-Clebsch Condition for the Singular Cases of Optimal Control, IBM Journal, Vol. 11, pp. 361–372, 1967.
    Google Scholar
  8. Lewis, R. M.,Definitions of Order and Junction Conditions in Singular Optimal Control Problems, SIAM Journal on Control and Optimization, Vol. 18, pp. 21–32, 1980.
    Google Scholar
  9. Krener, A. J.,The High-Order Maximum Principle and Its Application to Singular Extremals, SIAM Journal on Control, Vol. 15, pp. 256–293, 1977.
    Google Scholar
  10. Bell, D. J., andBoissard, M.,Necessary Conditions at the Junction of Singular and Nonsingular Control Subarcs, International Journal of Control, Vol. 29, pp. 981–900, 1979.
    Google Scholar
  11. Bortins, R.,On Joining Nonsingular and Singular Optimal Control Subarcs, International Journal of Control, Vol. 37, pp. 867–872, 1983.
    Google Scholar
  12. Bell, D. J.,Lie Brackets and Singular Optimal Control, IMA Journal of Mathematical Control and Information, Vol. 1, pp. 83–94, 1984.
    Google Scholar
  13. Fraser-Andrews, G.,Numerical Techniques for Singular Optimal Trajectories, PhD Thesis, Hatfield Polytechnic, Hatfield, Hertfordshire, England, 1986.
    Google Scholar
  14. Leitmann, G.,An Introduction to Optimal Control, McGraw-Hill, New York, New York, 1966.
    Google Scholar
  15. Fraser-Andrews, G.,Numerical Methods for Singular Optimal Control, Journal of Optimization Theory and Applications (to appear).

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