Adaptive stabilization of an incommensurate fractional order chaotic system via a single state controller

作者：Ruo Xun Zhang; Shi Ping Yang^*

来源：Chinese Physics B, 2011, 20(11): 110506.

DOI：10.1088/1674-1056/20/11/110506

• stabilization
• modified adaptive feedback control
• fractional-order chaotic system
• chaos control

In this paper, we investigate the stabilization of an incommensurate fractional order chaotic systems and propose a modified adaptive-feedback controller for the incommensurate fractional order chaos control based on the Lyapunov stability theory, the fractional order differential inequality and the adaptive control theory. The present controller, which only contains a single state variable, is simple both in design and in implementation. The simulation results for several fractional order chaotic systems are provided to illustrate the effectiveness of the proposed scheme.

• 出版日期2011-11
• 单位邢台学院; 河北师范大学