The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov
研究驾驶员根据路线成本调整选择的动态交通分配模型，利用李雅普诺夫方法证明在单调成本流量函数且无容量限制时，系统轨迹收敛于Wardrop均衡集。
This paper considers a dynamic model of traffic assignment in which drivers change their route choices to take advantage of cheaper routes. Using a method due to Lyapunov, we show that if the cost-flow function is monotone and there are no explicit capacity restrictions then any solution trajectory of our dynamical system converges to the set of Wardrop equilibria as time passes.