In this work a new method to analyze the stability of metro lines with respect to a previously constructed time schedule is presented. For this purpose, metro lines are modelled using a nonlinear real time discrete space state representation and then the Lyapunov-based stability analysis is applied considering time delays of trains as disturbances. As a result a new set of indexes which relate time delays with the validity of the actual time schedule when falling inside a particular dasiastability areapsila are defined. Results obtained in a simulated environment show that the new stability indexes are able to evaluate quantitatively and qualitatively the effects of saturation in metro lines as well as predict the need for rescheduling.
In this work a new method to analyze the stability of metro lines with respect to a previously constructed time schedule is presented. For this purpose, metro lines are modelled using a nonlinear real time discrete space state representation and then the Lyapunov-based stability analysis is applied considering time delays of trains as disturbances. As a result a new set of indexes which relate time delays with the validity of the actual time schedule when falling inside a particular dasiastability areapsila are defined. Results obtained in a simulated environment show that the new stability indexes are able to evaluate quantitatively and qualitatively the effects of saturation in metro lines as well as predict the need for rescheduling. Read More
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