Second order analysis of control-affine problems with scalar state constraint

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• 作者：M. S. Aronna ; J. F. Bonnans ; B. S. Goh
• 关键词：Mathematics Subject Classification49K15 ; 49K27
• 刊名：Mathematical Programming
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：160
• 期：1-2
• 页码：115-147
• 全文大小：662 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Calculus of Variations and Optimal Control
  Mathematics of Computing
  Numerical Analysis
  Combinatorics
  Mathematical and Computational Physics
  Mathematical Methods in Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1436-4646
• 卷排序：160

文摘

In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition.