Some aspects of reachability for parabolic boundary control problems with control constraints
A class of one-dimensional parabolic optimal boundary control problems is considered. The discussion includes Neumann, Robin, and Dirichlet boundary conditions. The reachability of a given target state in final time is discussed under box constraints on the control. As a mathematical tool, related e...
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| Veröffentlicht in: | Computational optimization and applications 2011-09, Vol.50 (1), p.75-110 |
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| container_title | Computational optimization and applications |
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| creator | Dhamo, Vili Tröltzsch, Fredi |
| description | A class of one-dimensional parabolic optimal boundary control problems is considered. The discussion includes Neumann, Robin, and Dirichlet boundary conditions. The reachability of a given target state in final time is discussed under box constraints on the control. As a mathematical tool, related exponential moment problems are investigated. Moreover, based on a detailed study of the adjoint state, a technique is presented to find the location and the number of the switching points of optimal bang-bang controls. Numerical examples illustrate this procedure. |
| doi_str_mv | 10.1007/s10589-009-9310-1 |
| format | Article |
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| subjects | Adjoints Approximation Boundary conditions Boundary control Boundary value problems Convex and Discrete Geometry Dirichlet problem Linear equations Management Science Mathematical models Mathematics Mathematics and Statistics Operations Research Operations Research/Decision Theory Optimization Parabolas Statistics Studies Switching |
| title | Some aspects of reachability for parabolic boundary control problems with control constraints |
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