Some aspects of reachability for parabolic boundary control problems with control constraints
نویسندگان
چکیده
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. AMS Subject Classification. 49K20, 49M05, 49N10, 93B05, 93B03
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ورودعنوان ژورنال:
- Comp. Opt. and Appl.
دوره 50 شماره
صفحات -
تاریخ انتشار 2011