论文标题
敏感性分析分数最佳控制问题的价值功能，并应用于最佳反馈控制的构建
Sensitivity analysis of value functional of fractional optimal control problem with application to construction of optimal feedback control
论文作者
论文摘要
我们考虑了由Caputo分数微分方程和终端成本功能描述的动力系统的最佳控制问题。我们证明，在某些假设下，此问题的（通常平滑，通常）的值功能具有订单$α$的定向可不同性的属性。作为此结果的应用，我们提出了一种构建最佳位置（反馈）控制策略的新方法。
We consider an optimal control problem for a dynamical system described by a Caputo fractional differential equation and a terminal cost functional. We prove that, under certain assumptions, the (non-smooth, in general) value functional of this problem has a property of directional differentiability of order $α$. As an application of this result, we propose a new method for constructing an optimal positional (feedback) control strategy.
