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Maximum principles for multidimensional relaxed control problems

  • III Optimal Control
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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 180))

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References

  1. Ball, J.M.: Convexity conditions and existence theorems in linear elasticity,Arch. Rat. Mech.Anal. 63 (1977), 337–405.

    Article  MATH  Google Scholar 

  2. Cesari, L.: Optimization with partial differential equations in Dieudonnè-Rashevsky form and conjugate problems, Arch.Rat.Mech. Anal. 33 (1969), 339–357.

    Article  MATH  MathSciNet  Google Scholar 

  3. Chipot, M.,Kinderlehrer, D.: Equilibrium Configurations of Crystals, Arch. Rat. Mech. Anal. 103 (1988), 237–277.

    Article  MATH  MathSciNet  Google Scholar 

  4. Gamkrelidze, R.V. Principles of Optimal Control Theory, Plenum Press, New York and London, 1978.

    MATH  Google Scholar 

  5. Hesteness, M.R.: Calculus of variations and Optimal Control, John Wiley and Sons, Inc, New York,London,Sidney 1966.

    Google Scholar 

  6. Ioffe, A.D.,Tichomirov, V.M.: Theory of Extremal Problems [russ.] Nauka, Moscow 1974.

    Google Scholar 

  7. Klötzler, R.: On Pontryagins maximum principle for multiple Integrals, Beiträge zur Analysis 8 (1976), 67–75.

    Google Scholar 

  8. Mc Shane, E.J.: Generalized curves, Duke Math.J., 6 (1940), 513–536.

    Article  MathSciNet  Google Scholar 

  9. Pickenhain, S., Kraut, H.:Erweiterung von mehrdimensionalen Steuerungsproblemen und Dualität, Optimization 21 (1990)3, 387–397.

    Article  MATH  MathSciNet  Google Scholar 

  10. Pontryagin; LS, Boltjanskij, W.G.,Gamkrelidze, R.V., Miscenko, E.F.: Mathematical Theory of Optimal Processes [russ.], Gos.Izd., Moscow 1961.

    Google Scholar 

  11. Rund, H: Pontryagin functions for multiple integral control problems, J.Optim. Theory Appl. 18 (1976), 511–520.

    Article  MATH  MathSciNet  Google Scholar 

  12. Tartar,L.: Compensated Compactness, Heriot-Watt Symposium, Vol.4, Pitman (1978).

    Google Scholar 

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Authors and Affiliations

  1. Sektion Mathematik, Universität Leipzig, Augustusplatz 10, O-7010, Leipzig

    Sabine Pickenhain

Authors
  1. Sabine Pickenhain
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Editor information

L. D. Davisson A. G. J. MacFarlane H. Kwakernaak J. L. Massey Ya Z. Tsypkin A. J. Viterbi Peter Kall

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© 1992 International Federation for Information Processing

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Pickenhain, S. (1992). Maximum principles for multidimensional relaxed control problems. In: Davisson, L.D., et al. System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113309

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  • DOI: https://doi.org/10.1007/BFb0113309

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55577-3

  • Online ISBN: 978-3-540-47220-9

  • eBook Packages: Springer Book Archive

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