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Nonholonomic Optimization

In: Recent Advances in Optimization

Author

Listed:
  • Constantin Udrişte

    (University Politehnica of Bucharest)

  • Oltin Dogarul

    (University Politehnica of Bucharest)

  • Massimiliano Ferrara

    (University of Messina)

  • Ionel Ţevy

    (University Politehnica of Bucharest)

Abstract

Summary In this paper one generalizes various types of constrained extremism, keeping the Lagrange or Kuhn-Tucker multipliers rule. The context which supports this development is the nonholonomic optimization theory which requires a holonomic or nonholonomic objective function subject to nonholonomic or holonomic constraints. We refined such a problem using two new ideas: the replacement of the point or velocity constraints by a curve selector, and the geometrical interpretation of the Lagrange and Kuhn-Tucker parameters. The classical optimization theory is recovered as a particular case of extremism constrained by a curve selector.

Suggested Citation

  • Constantin Udrişte & Oltin Dogarul & Massimiliano Ferrara & Ionel Ţevy, 2006. "Nonholonomic Optimization," Lecture Notes in Economics and Mathematical Systems, in: Alberto Seeger (ed.), Recent Advances in Optimization, pages 119-132, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-28258-7_8
    DOI: 10.1007/3-540-28258-0_8
    as

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