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Bounded Control Problems

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Optimal Control with Aerospace Applications

Part of the book series: Space Technology Library ((SPTL,volume 32))

Abstract

We recall that the general form of the minimization problem can be stated as

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References

  • A.E. Bryson Jr., Y.C. Ho, Applied Optimal Control (Hemisphere Publishing, Washington, D.C., 1975)

    Google Scholar 

  • P. Contensou, Etude théorique des trajectoires optimales dans un champ de gravitation. Application au cas d’un centre d’attraction unique. Astronaut. Acta 8, 134–150 (1962)

    MathSciNet  Google Scholar 

  • B.S. Goh, Necessary conditions for singular extremals involving multiple control variables. SIAM J. Control 4(4), 716–731 (1966)

    Article  MathSciNet  MATH  Google Scholar 

  • D.G. Hull, Optimal Control Theory for Applications (Springer, New York, 2003)

    Book  MATH  Google Scholar 

  • H.J. Kelley, A second variation test for singular extremals. AIAA J. 2, 1380–1382 (1964)

    Article  MathSciNet  MATH  Google Scholar 

  • H.J. Kelley, R.E. Kopp, A.G. Moyer, Singular extremals, Chapter 3, in Topics in Optimization, ed. by G. Leitmann (Academic, New York, 1967), p. 63

    Google Scholar 

  • R.E. Kopp, A.G. Moyer, Necessary conditions for singular extremals. AIAA J. 3, 1439–1444 (1965)

    Article  MATH  Google Scholar 

  • J.P. Marec, Optimal Space Trajectories (Elsevier Scientific, New York, 1979)

    MATH  Google Scholar 

  • A. Miele, Flight mechanics and variational problems of a linear type. J. Aerosp. Sci. 25(9), 581–590 (1958)

    Article  MATH  Google Scholar 

  • H.M. Robbins, A generalized Legendre-Clebsch condition for the singular cases of optimal control. IBM J. Res. Dev. 11(4), 361–372 (1967)

    Article  MathSciNet  MATH  Google Scholar 

  • K.S. Tait, Singular problems in optimal control. PhD thesis, Harvard University, Cambridge (1965)

    Google Scholar 

  • J. Vagners, Optimization techniques, in Handbook of Applied Mathematics, 2nd edn., ed. by C.E. Pearson (Van Nostrand Reinhold, New York, 1983), pp. 1140–1216

    Google Scholar 

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Longuski, J.M., Guzmán, J.J., Prussing, J.E. (2014). Bounded Control Problems. In: Optimal Control with Aerospace Applications. Space Technology Library, vol 32. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8945-0_9

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  • DOI: https://doi.org/10.1007/978-1-4614-8945-0_9

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-8944-3

  • Online ISBN: 978-1-4614-8945-0

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