论文标题
一种基于拓扑导数的算法，以解决$ l^0（ω）$控制成本的最佳控制问题
A topological derivative-based algorithm to solve optimal control problems with $L^0(Ω)$ control cost
论文作者
论文摘要
在本文中，我们考虑了$ l^0 $ - 控件成本的优化问题。在这里，我们将控件的支持作为独立优化变量。相应的值函数相对于支持的变化的拓扑导数将得出。这些拓扑衍生物用于与Armijo线路搜索的新型梯度下降算法中。在合适的假设下，该算法产生最小化序列。
In this paper, we consider optimization problems with $L^0$-cost of the controls. Here, we take the support of the control as independent optimization variable. Topological derivatives of the corresponding value function with respect to variations of the support are derived. These topological derivatives are used in a novel gradient descent algorithm with Armijo line-search. Under suitable assumptions, the algorithm produces a minimizing sequence.
