A novel stability theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach

作者：Hu Jian Bing^*; Han Yan; Zhao Ling Dong

来源：Acta Physica Sinica, 2009, 58(4): 2235-2239.

• fractional
• chaos
• synchronization
• back-stepping method
• stable
• Newton-Leipnik

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.

• 出版日期2009-4
• 单位中北大学