Variational Control Problems with Constraints Via Exact Penalization

  • V. F. Demyanov
  • F. Giannessi
  • G. Sh. Tamasyan
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 79)


The Exact Penalization approach to solving constrained problems of Calculus of Variations described in [17] is extended to the case of variational problems where the functional and the constraints contain a control function. The constraints are of both the equality- and inequality-type constraints. The initial constrained problem is reduced to an unconstrained one. The related unconstrained problem is essentially nonsmooth. Necessary optimality conditions are derived.

Key words

Calculus of Variations Equality- and Inequality-type Constraints Necessary optimality conditions Penalty Function Exact Penalty Function Nonsmooth Analysis 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • V. F. Demyanov
    • 1
  • F. Giannessi
    • 2
  • G. Sh. Tamasyan
    • 1
  1. 1.Applied Mathematics Dept.St. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Dept. of MathematicsUniversity of PisaPisaItaly

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