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
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.