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OPTIMAL CONTROL OF SEMILINEAR PARABOLIC EQUATIONS WITH κ-APPROXIMATE PERIODIC SOLUTIONS.
- Source :
- SIAM Journal on Control & Optimization; 2007, Vol. 46 Issue 5, p1754-1778, 25p
- Publication Year :
- 2007
-
Abstract
- In this paper, we study some optimal control problems governed by certain semilinear parabolic equations with K-approximate periodic solutions. We first prove the existence and uniqueness theorems for K-approximate periodic solutions of the equations. We then use these results to establish the qualified Pontryagin maximum principle. The existence for such optimal controls is also investigated in the paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 46
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 27745683
- Full Text :
- https://doi.org/10.1137/060665063