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中国物理学会期刊

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

CSTR: 32037.14.aps.58.2235

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

CSTR: 32037.14.aps.58.2235
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  • 对阶次小于1的分数阶系统的稳定问题,提出了一种新的判据.基于该理论,将back-stepping方法拓展到分数阶系统中并设计控制器实现了分数阶Newton-Leipnik混沌系统的同步.数值仿真验证了稳定性理论的准确性及控制器设计方法的有效性.

     

    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.

     

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