Abstract: The finite-time control method is an effective technique to obtain fast convergence in a control system. It is more advantageous to synchronize chaotic systems within a finite time rather than merely asymptotically. This paper is concerned with the finite-time synchronization problem of fractional-order Victor-Carmen system with dead-zone input. To ensure that Victor-Carmen system states converge to the equilibrium point in a given finite time, an adaptive sliding mode control strategy is proposed. A non-singular fractional-order sliding surface is designed and an adaptive sliding mode control law is introduced to force the trajectory of the synchronization error systems onto the sliding surface, chaos synchronization is thus achieved for master-slave systems. The illustrative examples are presented to illustrate the effectiveness and applicability of the proposed finite-time controller and to validate the theoretical results of the paper.

Key words: fractional order, Victor-Carmen system, sliding mode control, chaos synchronization, dead-zone input, finite-time control