Synchronization of uncertain complex dynamical network based on sliding mode control

Lifu Wang, Qingli Wang, Yuanwei Jing, Zhi Kong · 2008

This paper investigates the locally and globally synchronization of an uncertain complex dynamical network. For generic complex networks with unknown dynamics of nodes and unknown coupling functions..some locally and globally synchronization controllers are designed using sliding mode variable structure method. Several controllers for network synchronized states stability have been proved by using Lyapunov stability theory. Our designed controllers for network synchronization are rather simple in form. It is very useful for future practical engineering design. Finally, the famous Lorenz system is stimulated as the dynamical nodes of complex networks, and the results show the effectiveness of our designed controllers.

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