For example , in reference [ 12 ] , the author studies the stability of system equilibrium with the method of latent root and the periodic solution of the marchuk ' s model with the method which provided by reference [ 13 ] 例如,文[ 12 ]以时滞r为参数,利用特征根法研究了该模型的平衡点的稳定性,利用文[ 13 ]的方法研究了该模型的周期解。
The article will have a deep discussion about the comprehensive module of traffic control system and traffic guidance system as well as user equilibrium and system equilibrium principle . in the intelligent traffic system , traffic governor hope to allot traffic flow by system equilibrium principle while passengers could only choose appropriate paths by use equilibrium principle based on traffic information . the two principles are different with conflicting game relationship 在城市交通控制与诱导一体化智能交通管理系统中,交通管理者希望按系统最优原则分配交通流,出行者在根据诱导信息选择路径时却只可能遵循用户最优原则,目标不同,二者是有冲突的博弈关系。
The article brings forth a reasonable traffic consuming module to coordinate the game relationship and improve road network efficiency , that is , the optimized or almost optimized status of the system and customer - optimized status with traffic information lacking could come into fact when the traffic governor allot traffic flow based on system equilibrium principle , take passenger ’ s path choosing behavior into consideration and take the preponderant advantages to make the traffic flow at optimized or almost optimized status through traffic control system and guidance system 本文提出了一种有效协调二者关系,建立合理的交通消费模式,以提高路网效率的解决方案:当交通管理者以系统最优的方法进行交通流分配时,应预先考虑用户的路径选择行为,利用其信息优势和主导地位通过交通控制和交通诱导使交通流接近或达到系统最优状态,同时实现出行者信息缺乏状态下的用户最优。
We find out there is a change in the stability of system equilibrium when time delay r experiences certain variation , i . e . , when it changes from asymptotical stability ( unstability ) to unsiability ( stability ) , these t become the system ' s bifurcation value ( the system has small - scale amplitude nontrivial periodic solution around these values ) , and then we obtain the bound of stability of equilibrium 我们发现当时滞变化经过某些值时,系统平衡点的稳定性也发生变化,也就是从渐近稳定(不稳定)到不稳定(稳定) 。这些值就是系统的hopf分支值(即在这些值附近,系统有小振幅的非平凡周期解) ,从而也得到了稳定性的存在范围。