Stability analysis of switching rate system in the dynamic traffic assignment
Ma Liang · Journal of the University of Shanghai for Science and Technology · 2007
A dynamic switching rate model for dynamic traffic assignment is constructed under high congestion level and on the assumption that the switch rate of traffic is proportional to the path cost.A general Lyapunov functional is presented in order to obtain the system's global asymptotical stability,in the meanwhile a sufficient condition is obtained by using the linear matrix inequalities(LMIs).