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作者机构:Univ Illinois Coordinated Sci Lab Urbana IL 61801 USA Univ Politecn Cataluna EUPVG Dept Matemat Aplicada 4 Vilanova i la Geltru 08800 Spain Univ Twente Syst Signals & Control Dept NL-7500 AE Enschede Netherlands CSIC Inst Matemat & Fis Fundamental E-28006 Madrid Spain
出 版 物:《REPORTS ON MATHEMATICAL PHYSICS》 (数学物理学报告)
年 卷 期:2003年第51卷第2-3期
页 面:171-186页
核心收录:
学科分类:07[理学] 070201[理学-理论物理] 0702[理学-物理学]
基 金:MCYT (LXXYT PGC2000-2191-E)
主 题:optimal control consistency problem singular points transition principle
摘 要:We examine the problem of the consistency of the second-order differential equations associated with optimal control problems. This problem can be treated in a presymplectic framework by means of a constraint algorithm. Two cases may arise: the regular one, already considered in the literature, and the degenerate one. The main contribution of this paper is the proposal of a discrete transition law for the optimal trajectories that reach a singular point. This discrete law respects both the geometry and the dynamical structure of the optimal control problem.