Resumen de Internal Layer Solution of Singularly Perturbed Optimal Control Problem with Integral Boundary Condition

Limeng Wu, Mingkang Ni, Haibo Lu

• In this paper, we investigate a class of singularly perturbed optimal control problem with integral boundary condition. By means of k+σ exchange lemma, the existence of internal layer solution for the optimal control problem is proved. Meanwhile, the uniformly valid asymptotic solution is constructed by the boundary function method. Finally, an example is given for illustrating the main result.