STEP-LIKE CONTRAST STRUCTURE OF SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM＊

作     者：Mingkang Ni Limeng Wu 

作者机构：Department of MathematicsEast China Normal UniversityShanghai 200241China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2012年第30卷第1期

页      面：2-13页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081402[工学-结构工程] 081304[工学-建筑技术科学] 070105[理学-运筹学与控制论] 0813[工学-建筑学] 081101[工学-控制理论与控制工程] 0814[工学-土木工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：Acknowledgments. The authors are grateful to Professor Zhiming Wang of East China Normal University for his comments which improved the presentation of the paper. The research was supported by the National Natural Science Foundation of China (11071075  30921064  90820307)  Natural Science Foundation of Shanghai (10ZR1409200)  E-Institutes of Shanghai Municipal Education Commission (E03004)  the Knowledge Innovation Program of the Chinese Academy of Sciences 

主　　题：Singular perturbation Optimal control problem Contrast structure. 

摘      要：The existence of step-like contrast structure for a class of singularly perturbed optimal control problem is presented by contrast structure theory. By means of direct scheme of boundary function method, we construct the uniformly valid asymptotic solution for the singularly perturbed optimal control problem. As an application, an example is given to illustrate the main result in this paper.