Open AccessInternal layer solution of singularly perturbed optimal control problem
Author(s) -
Limeng Wu,
Mingkang Ni
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.080203
Subject(s) - method of matched asymptotic expansions , singular perturbation , optimal control , class (philosophy) , layer (electronics) , scheme (mathematics) , function (biology) , boundary (topology) , boundary layer , mathematics , control (management) , mathematical analysis , boundary value problem , computer science , mathematical optimization , physics , materials science , mechanics , artificial intelligence , evolutionary biology , composite material , biology
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.