奇异摄动最优控制问题中的内部层解  

Internal layer solution of singularly perturbed optimal control problem

作　　者：武利猛[1] 倪明康[1] 

机构地区：[1]华东师范大学数学系,上海200241

出　　处：《物理学报》2012年第8期13-18,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11071075;30921064;90820307);上海市自然科学基金(批准号:10ZR1409200)资助的课题~~

摘　　要：利用边界层函数法基础上发展起来的直接展开法研究了一类奇异摄动最优控制问题.证明了内部层解的存在性,并构造了一致有效的渐近解.A class of singularly perturbed optimal control problem is studied by direct scheme method, which is based on the boundary function method. The internal layer solution is proved to be existing, and the uniformly valid asymptotic solution for the singularly perturbed optimal control problem is constructed.

关 键 词：渐近解 奇异摄动 内部层 

分 类 号：O232[理学—运筹学与控制论]