On regularizing properties of the Pontryagin Maximum Principle for distributed systems |
| 1 | |
| 2008 |
| MATHEMATICS |
| scientific article | 517.95:517.97 | ||
| 81-87 |
| The results related to the theory of optimal control of distributed systems with approximately known initial data are presented. The basic element of the theory is a minimizing sequence of admissible controls, not the classic optimal control. The necessary conditions for minimizing sequence elements are given in an optimal control problem for a parabolic equation. The regularizing properties of the Pontryagin Maximum Principle are discussed. An illustrative example is considered. |
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