A novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach
一种新的分数阶系统稳定理论及在back-stepping方法同步分数阶混沌系统中的应用

A stablility theorem is proposed for fractional systems whose order is not greater than 1. Based on this theorem, back-stepping approach for designing controller is extended to fractional order chaotic system. And the fractional order Newton-Leipnik chaotic system is synchronized based on the extended backstepping approach. Numerical simulation certifies effectiveness of the method.