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- Title
Time-optimal control problem for parabolic equations with control constraints and infinite number of variables.
- Authors
BAHAA, G. M.
- Abstract
A time optimal control problem for parabolic equations with an infinite number of variables is considered. A time optimal control problem is replaced by an equivalent one with a performance index in the form of integral form. Constraints on controls are assumed. To obtain the optimality conditions for the Neumann problem, the generalization of the Dubovitskii–Milyutin theorem given by Walczak (1984, Acta Universitatis Lodziensis Folia Mathematica, 187–196; 1984, J. Optim. Theor. Appl., 42, 561–582) was applied.
- Subjects
MATHEMATICAL optimization; PARABOLIC differential equations; CONTROL theory (Engineering); NEUMANN problem; INTEGRAL domains
- Publication
IMA Journal of Mathematical Control & Information, 2005, Vol 22, Issue 3, p364
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dni033