Conjugacy for normal or abnormal linear Bolza problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:318

Article

Rosenblueth, JF

关键词: optimal control;    conjugate points;    second order necessary conditions;    normality;   

DOI  :  10.1016/j.jmaa.2005.05.062

来源: Elsevier

【 摘 要 】

For certain Bolza problems with linear dynamics, two sets extending the notion of conjugate points in the calculus of variations are introduced. Independently of nonsingularity assumptions, their emptiness, in one case without normality assumptions, is shown to be equivalent to a second order necessary condition. A comparison with other notions available in the literature is given. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free