Journal of Optimization Theory and Applications

, Volume 50, Issue 3, pp 525–533 | Cite as

On optimal periodic control and nested optimization problems

  • F. Colonius
Technical Note


A minimization problem for a functional on a convex subsetC of a normed linear space is considered. Under certain hypotheses, optimality in a certain subset ofC implies the validity of first-order necessary optimality conditions for the problem inC. The result is applied to a problem in optimal periodic control of neutral functional differential equations.

Key Words

Optimal periodic control first-order optimality conditions neutral functional differential equations 


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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • F. Colonius
    • 1
  1. 1.Lefschetz Center for Dynamical Systems, Division of Applied MathematicsBrown UniversityProvidence

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