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Original Articles

Application of the epsilon method and the method of multipliers to a non-linear optimal control problemFootnote

Pages 149-164 | Received 13 Oct 1975, Published online: 03 Apr 2007

REFERENCES

  • BALAKRTSHNAN , A. V. , 1968 , J. SI AM Control , 6 , 149 ; 1969, The Epsilon Technique –A Constructive Approach to Optimal Control, Control Theory and the Calculus of Variations (New York Academic Press), p. 343 ; 1971, J. optim. Theory Applic, 8, 163 .
  • BAUM , R. F. , and CESARI , L. , 1972 , J. SI AM Control , 10 , 56 .
  • BERKOVITZ , L. D. , 1972 , Studia Math. , T. XLV, 275 ; 1974 , J. SI AM Control, 12,27 .
  • CESARI , L. , 1966 a , Trans. Am. math. Soc , 124 , 369 ; 1966 b Ibid. , 124, 413 ; 1968, J. SI AM Control , 6, 517 ; 1971 Ibid. , 9, 287 ; 1974 a Archs ration. Mech. Analysis , 55, 332 ; 1974 b Annali. Mat. pura appl. , 98, 382 .
  • CESARI , L. , LA PALM , J. R. , and NISHIURA , T. , 1969 , J. optim. Theory Applic , 3 , 296 .
  • CHOUDHURY , A. K. , 1973 , J. optim. Theory Applic , 11 , 494 .
  • COURANT , R. , 1962 , Courant Institute Lecture Notes ( revised and amended by J. Moser ),p. 271 .
  • EDWARDS , R. E. , 1965 , Functional Analysis Theory and Applications ( New York Holt, Rinehart & Winston ).
  • GAMKRELIDZE , R. V. , 1965 , J. SI AM Control , 3 , 106 .
  • HESTENES , M. R. , 1966 , Calculus of Variations and Optimal Control Theory ( New York John Wiley & Sons ) ; 1969 , J. optim. Theory Applic, 4, 303 .
  • MCSHANE , E. J. , 1967 a , J. SI AM Control , 5 , 438 ; 1967 b, Optimal Controls, Relaxed and Ordinary, Mathetnattcal Theory of Control, edited by A. V. Balakrishnan and L. W., Neustadt (New York Academic Press), p. 1 .
  • MCSHANE , E. J. ,WARFIELD, R. B.. Jr., 1967 , Proc. Am. math. Soc , 18 , 41 1969,76., 21, 496 .
  • MAZUR , S. , 1933 , Studia math. , 4 , 70 .
  • RUPP , R. D. , 1972 a , J. optim. Theory Applic , 9 , 238 ; 1972 b, Pacific J. Math., 40, 415 ; 1972 c, Ibid., 41, 529 ; 1973, Trans. Am. math. Soc, 178, 357 ; 1975, J. optim. Theory Applic, 16, 99 ; 1976, Ibid., (to be published) .
  • † Partially supported by NSF Grant GP34480 and a State University of New York Faculty Fellowship

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