| Article ID: | iaor20111906 |
| Volume: | 72 |
| Issue: | 1 |
| Start Page Number: | 61 |
| End Page Number: | 73 |
| Publication Date: | Jan 2011 |
| Journal: | Automation and Remote Control |
| Authors: | Omuraliev S, Rafatov R |
| Keywords: | optimization |
For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary‐layer functions obeying a special function called the ‘complementary probability integral.’