奇异摄动最优控制问题中的内部层解

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.