论文标题

非线性阻尼网络动力学的随机最佳控制

Stochastic optimal control for nonlinear damped network dynamics

论文作者

Göttlich, Simone, Schillinger, Thomas

论文摘要

我们为树网络提供了随机最佳控制问题。网络的动力学受运输方程的控制,并特别强调了非线性阻尼函数。网络接收器上的需求曲线是由随机微分方程建模的。确定明确的最佳流入网络,并提供数值模拟,以显示非线性阻尼不同选择的效果。

We present a stochastic optimal control problem for a tree network. The dynamics of the network are governed by transport equations with a special emphasis on the non-linear damping function. Demand profiles at the network sinks are modelled by a stochastic differential equations. An explicit optimal inflow into the network is determined and numerical simulations are presented to show the effects for different choices of the non-linear damping.

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