|Adaptive Pinning Synchronization of Complex Networks with Negative Weights and Its Application in Traffic Road Network
Dan Wang*,Wei-Wei Che, Hao Yu*, and Jia-Yang Li
International Journal of Control, Automation, and Systems, vol. 16, no. 2, pp.782-790, 2018
Abstract : "As local traffic congestion and uncertainty factors existing on roads may lead to cascading failures or
even large area traffic network congestion, a pinning control method is proposed to divert the traffic and then
restore the smooth flow of traffic. To eliminate the impacts of uncertainties and negative weights for the traffic
network performance, the adaptive pinning control and coupling adjustment strategies are designed to estimate
controller parameters and adjust coupling strength to compensate for the impacts on the pinned nodes and unpinned
nodes. Based on Lyapunov stability theory, adaptive pinning controllers and network adjusters are developed
to guarantee the achievement of network synchronization even in the presence of the uncertainties and negative
weights. In addition, we investigate the effects of the type of nodes on pinning synchronization performance.
Numerical simulations show that if the network’s degree and the single node energy index are considered, better
synchronization performance can be obtained by comparing with the pervious pinning schemes."
Adaptive pinning control, complex traffic road network, negative weights, synchronization.
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