In this chapter, we consider an optimal control problem with a quadratic cost functional, subject to the Poisson equation and inequality control constraints as in Chap. 5 , but without the Tikhonov (or regularization) term, or equivalently with the cost or regularization parameter \(\alpha = 0\) . We present numerical analysis for the regularization and discretization of such problems and provide estimates for both types of errors simultaneously.

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Bang-Bang Controls

  • Boris Vexler,
  • Dominik Meidner

摘要

In this chapter, we consider an optimal control problem with a quadratic cost functional, subject to the Poisson equation and inequality control constraints as in Chap. 5 , but without the Tikhonov (or regularization) term, or equivalently with the cost or regularization parameter \(\alpha = 0\) . We present numerical analysis for the regularization and discretization of such problems and provide estimates for both types of errors simultaneously.