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In this chapter, we consider an optimal control problem with a quadratic tracking-type cost functional, linear state equation given by the Poisson equation and with additional control constraints, i.e., pointwise inequality constraints on the control variable. The corresponding problem without control constraints is discussed in Chap. 4 . The goal of this chapter is to present various discretization concepts and to derive corresponding error estimates.

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Control Constraints

  • 章节

  • 发表日期：

    2025年

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  • Boris Vexler,
  • Dominik Meidner

摘要

In this chapter, we consider an optimal control problem with a quadratic tracking-type cost functional, linear state equation given by the Poisson equation and with additional control constraints, i.e., pointwise inequality constraints on the control variable. The corresponding problem without control constraints is discussed in Chap. 4 . The goal of this chapter is to present various discretization concepts and to derive corresponding error estimates.