Parabolic Control Problems in Measure Spaces with Sparse Solutions
نویسندگان
چکیده
Optimal control problems in measure spaces governed by parabolic equations are considered, which are known to promote sparse solutions. Optimality conditions are derived and some of the structural properties of their solutions, in particular sparsity, are discussed. A framework for their approximation is proposed which is efficient for numerical computations and for which convergence is proved and error estimates are provided. Numerical examples illustrate the structural features of the optimal controls. 1. Introduction. This paper is dedicated to the analysis and approximation of the optimal control problem
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 51 شماره
صفحات -
تاریخ انتشار 2013