论文标题
关于动态流动网络的适当性，并具有反馈控制的流出
On the Well-Posedness of Dynamical Flow Networks With Feedback-Controlled Outflows
论文作者
论文摘要
我们研究了一类动力流网络系统的良好性，这些系统描述了有限数量的细胞之间交换商品与外部环境之间交换商品流动的动态质量平衡。所考虑类中的系统被描述为差分包含物，即路由矩阵是恒定的，并且网络中每个单元格的流出受到网络状态的Lipschitz连续函数的控制限制。在许多应用程序中，例如排队系统和流量信号控制，通常可以让空的队列比队列中的质量更多。尽管此情况的模型以前已经用于开放环路流出控件，但此结果可确保在Case LipsChitz连续反馈控制器的情况下，网络流动动力学的解决方案的存在和唯一性。
We study the well-posedness of a class of dynamical flow network systems describing the dynamical mass balance among a finite number of cells exchanging flow of a commodity between themselves and with the external environment. Systems in the considered class are described as differential inclusions whereby the routing matrix is constant and the outflow from each cell in the network is limited by a control that is a Lipschitz continuous function of the state of the network. In many applications, such as queueing systems and traffic signal control, it is common that an empty queue can be allowed to have more outflow than the mass in the queue. While models for this scenario have previously been presented for open-loop outflow controls, this result ensures the existence and uniqueness of solutions for the network flow dynamics in the case Lipschitz continuous feedback controllers.
