First-order and second-order necessary conditions for optimality of singular controls
作者:
Hansheng Wu,
期刊:
International Journal of Control
(Taylor Available online 1989)
卷期:
Volume 49,
issue 5
页码: 1473-1487
ISSN:0020-7179
年代: 1989
DOI:10.1080/00207178908559720
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The derivation of necessary conditions for the optimality of singular controls (in the sense of Pontryagin's maximum principle) in optimal control problems is inves- tigated. A new class of the necessary conditions is developed. This class of necessary conditions is composed of two parts, the first-order and second-order necessary conditions. As an application of these necessary conditions, an illustrative example is given, which shows that the necessary conditions developed are stronger than the generalized Legendre-Clebsch condition. That is, the singular control in the example satisfies the generalized Legendre-Clebsch condition, but does not satisfy the necessary conditions developed in this paper.
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