论文标题
与中间约束的稀疏最佳控制问题的必要条件
Necessary condition for sparse optimal control problem with intermediate constraints
论文作者
论文摘要
本文将在时间域的中间点定义的多个约束来处理最佳的稀疏控制问题。对于中间约束的此类问题，我们首先建立了一个新的Pontryagin最大原则，该原理为此类问题提供了最佳的必要条件。然后，我们宣布并采用一种新的数值算法，以可计算的方式，最佳的状态轨迹从我们的最大原则给出的必要条件中得出。包括几个详细的说明性示例。
This article treats optimal sparse control problems with multiple constraints defined at intermediate points of the time domain. For such problems with intermediate constraints, we first establish a new Pontryagin maximum principle that provides first order necessary conditions for optimality in such problems. Then we announce and employ a new numerical algorithm to arrive at, in a computationally tractable fashion, optimal state-action trajectories from the necessary conditions given by our maximum principle. Several detailed illustrative examples are included.
