Necessary Conditions and Sufficient Conditions for Optimality

  • D. A. Carlson
  • A. Haurie
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 290)


In this chapter we present both necessary conditions and sufficient conditions for optimality. These conditions are obtained by generalizing the appropriate finite horizon results. In particular we present the Pontryagin Maximum Principle, and its extension to the infinite horizon.


Maximum Principle Optimal Trajectory Optimal Control Theory Admissible Pair Infinite Horizon 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • D. A. Carlson
    • 1
  • A. Haurie
    • 2
    • 3
  1. 1.Department of MathematicsSouthern Illinois University at CarbondaleCarbondaleUSA
  2. 2.École des Hautes Études CommercialesMontréalCanada
  3. 3.École Polytechnique de MontréalMontréalCanada

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