The consistency problem in optimal control:: The degenerate case

作     者：Cortés, J Martínez, S 

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.