Nonholonomic Optimization

Constantin Udrişte (), Oltin Dogarul, Massimiliano Ferrara () and Ionel Ţevy
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Constantin Udrişte: University Politehnica of Bucharest
Oltin Dogarul: University Politehnica of Bucharest
Massimiliano Ferrara: University of Messina
Ionel Ţevy: University Politehnica of Bucharest

A chapter in Recent Advances in Optimization, 2006, pp 119-132 from Springer

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.

Keywords: Extremum Point; Regularity Condition; Inequality Constraint; Minimum Point; Integral Curve (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-28258-7_8

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DOI: 10.1007/3-540-28258-0_8

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