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

• 成果类型: Article
• 署名作者: Aronna, M. S.; Bonnans, J. F.; Goh, B. S.
• 署名单位: Getulio Vargas Foundation; Institut Polytechnique de Paris; Ecole Polytechnique; Institut Polytechnique de Paris; ENSTA Paris; Ecole Polytechnique; Curtin University Malaysia
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-015-0976-0
• 发表日期: 2016
• 页码: 115-147
• 关键词: optimality conditions; extremals; ORDER

摘要

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.