Impulsive effects on bipartite quasi synchronization of extended Caputo fractional order coupled networks

Abstract This paper is considered with a bipartite quasi synchronization of a fractional order signed network consisting of a group of antagonistic coupled neural networks. The objective is to discuss more extensive ranges of impulse effects, which reveals that the impulsive could play a positive role or an adverse role in the final bipartite quasi synchronization. Compared with some related works, the effect of impulsive control depend on both the order of systems and impulsive functions, which enables a nonzero bound of synchronization error to be adjusted by choosing the appropriate order of addressed systems. In the sense of generalized Caputo fractional order derivative, to guarantee bipartite quasi synchronization, impulsive pinning control strategy is further designed and discussed. Pinning control works effectively to counteract the side effects brought by negative impulsive. Finally, numerical simulation is provided for illustration.

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