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Published in:
2006 | OriginalPaper | Chapter
Nonholonomic Optimization
Authors : Constantin Udrişte, Oltin Dogarul, Massimiliano Ferrara, Ionel Ţevy
Published in: Recent Advances in Optimization
Publisher: Springer Berlin Heidelberg
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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.