Maximum principles for multidimensional relaxed control problems

  • Sabine Pickenhain
III Optimal Control III.1 Control Problems
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 180)


Control Problem Maximum Principle Convex Cone Convergent Subsequence Admissible Control 
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  1. [1]
    Ball, J.M.: Convexity conditions and existence theorems in linear elasticity,Arch. Rat. Mech.Anal. 63 (1977), 337–405.zbMATHCrossRefGoogle Scholar
  2. [2]
    Cesari, L.: Optimization with partial differential equations in Dieudonnè-Rashevsky form and conjugate problems, Arch.Rat.Mech. Anal. 33 (1969), 339–357.zbMATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    Chipot, M.,Kinderlehrer, D.: Equilibrium Configurations of Crystals, Arch. Rat. Mech. Anal. 103 (1988), 237–277.zbMATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    Gamkrelidze, R.V. Principles of Optimal Control Theory, Plenum Press, New York and London, 1978.zbMATHGoogle Scholar
  5. [5]
    Hesteness, M.R.: Calculus of variations and Optimal Control, John Wiley and Sons, Inc, New York,London,Sidney 1966.Google Scholar
  6. [6]
    Ioffe, A.D.,Tichomirov, V.M.: Theory of Extremal Problems [russ.] Nauka, Moscow 1974.Google Scholar
  7. [7]
    Klötzler, R.: On Pontryagins maximum principle for multiple Integrals, Beiträge zur Analysis 8 (1976), 67–75.Google Scholar
  8. [8]
    Mc Shane, E.J.: Generalized curves, Duke Math.J., 6 (1940), 513–536.CrossRefMathSciNetGoogle Scholar
  9. [9]
    Pickenhain, S., Kraut, H.:Erweiterung von mehrdimensionalen Steuerungsproblemen und Dualität, Optimization 21 (1990)3, 387–397.zbMATHCrossRefMathSciNetGoogle Scholar
  10. [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. [11]
    Rund, H: Pontryagin functions for multiple integral control problems, J.Optim. Theory Appl. 18 (1976), 511–520.zbMATHCrossRefMathSciNetGoogle Scholar
  12. [12]
    Tartar,L.: Compensated Compactness, Heriot-Watt Symposium, Vol.4, Pitman (1978).Google Scholar

Copyright information

© International Federation for Information Processing 1992

Authors and Affiliations

  • Sabine Pickenhain
    • 1
  1. 1.Sektion MathematikUniversität LeipzigLeipzig

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