A finite-time stable theorem about fractional systems and finite-time synchronizing fractional super chaotic Lorenz systems
分数阶系统有限时间稳定性理论及分数阶超混沌Lorenz系统有限时间同步

Finite-time stable theorem about fractional system and finite-time synchronizing fractional chaotic system are studied in this paper. A finite-time stable theorem is proposed and proved according to the properties of fractional equation. Using this theorem, fractional super chaotic Lorenz systems is synchronized in finite-time. Numerical simulation certifies the effectiveness of the theorem proposed in this paper.