期刊
FRACTAL AND FRACTIONAL
卷 7, 期 10, 页码 -出版社
MDPI
DOI: 10.3390/fractalfract7100767
关键词
graph-theoretic method; synchronization; multi-weights; urban public transportation system
This paper focuses on the equilibrium problem of an urban public transportation system with time delay. By combining graph theory and the Lyapunov method, the global Lyapunov function is constructed, and the response system can synchronize with the drive system under the adaptive controller.
This paper focuses on the equilibrium problem of an urban public transportation system with time delay. Time delay, multi-weights, and stochastic disturbances are considered in the urban public transportation system. Hence, one can regard the urban public transportation system as a stochastic multi-weighted delayed complex network. By combining graph theory and the Lyapunov method, the global Lyapunov function is constructed indirectly. Moreover, the response system can realize synchronization with the drive system under the adaptive controller. In other words, the urban public transportation system is balanced in the actual running traffic network. Finally, numerical examples about the Chua system and small-world network are presented to confirm the accuracy and validity of the theoretical results.
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