This paper presents finite-time hybrid projective synchronization for the unified chaotic system. The significant contribution of this paper is that master–slave system realizes hybrid projective synchronization within a pre-specified convergence time. Base on the Lyapunov stability theory and finite-time stability theory, a finite-time controller is derived to make the state of the slave system exponentially synchronize the state of the master system, and the different components of state of the slave system and the master system synchronize up to different desired scaling constant. Numerical simulations are presented to show the effectiveness of theoretical analysis.
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