Individual synchronization control of complex network with nonidentical nodes

This paper considers the problem that each node of a complex network with nonidentical nodes is synchronized to its own equilibrium point (periodic orbit, or chaotic orbit), which is called individual synchronization in this paper. Two control strategies with static feedback control and adaptive feedback control are proposed to guarantee the network to be individually synchronized, and a control strategy with edges adaptive adjustment and adaptive feedback control to determine coupling weights and feedback gains is also proposed. Finally, numerical examples are carried out to illustrate the effectiveness of the proposed control solutions.