Linear generalized synchronization of complex networks

Qiuxiang Bian, Hongxing Yao · Systems Engineering - Theory & Practice · 2011

The linear generalized synchronization(LGS)between two complex networks is investigated based on the Lyapunov stability theory.By constructing controller,two uncertain complex networks with time-delays can realize LGS.We can also construct a response network to realize LGS with the drive network and a given linear mapping.The results can be used to instruct the balanced development of networks,such as energy supply network,the financial network etc.Entrepreneurs stimulate network and enterprise economic growth factor network have been simulated.Under uncertain parameters,the LGS of the two networks can be obtained,so enterprise economy developing can be better steadily in a state of harmonious development.For the entrepreneurs stimulate network with unknown parameters,the response network can be constructed to realize LGS.One can control the network to achieve the synchronization for simultaneously identifying the unknown parameters to affirm the structure of the network.

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