| Article ID: | iaor20116898 |
| Volume: | 72 |
| Issue: | 6 |
| Start Page Number: | 1221 |
| End Page Number: | 1228 |
| Publication Date: | Jun 2011 |
| Journal: | Automation and Remote Control |
| Authors: | Buldaev S |
| Keywords: | programming: linear, optimization |
We construct a special differential‐algebraic boundary problem for nonlocal control improvement in systems linear with respect to the control. Based on the improvement boundary problem, we formulate a new necessary optimality condition that strengthens the maximum principle. For controls satisfying the maximum principle, we give examples of strict improvement with the proposed boundary problem.