Suppressing chaos in discontinuous systems of fractional order by active control
作者：
Highlights：
• Chaotic piecewise continuous systems of fractional order are investigated.
• Regularization by differential inclusion is applied and hence a continuous approximation by the Cellina’s Theorem is used.
• Stability of piecewise continuous systems of fractional order is analyzed.
• An active control technique, based on stabilization of unstable equilibria, is proposed and implemented for chaos control.
• Numerical simulations are presented for the fractional Shimizu–Morioka’s system.
摘要
•Chaotic piecewise continuous systems of fractional order are investigated.•Regularization by differential inclusion is applied and hence a continuous approximation by the Cellina’s Theorem is used.•Stability of piecewise continuous systems of fractional order is analyzed.•An active control technique, based on stabilization of unstable equilibria, is proposed and implemented for chaos control.•Numerical simulations are presented for the fractional Shimizu–Morioka’s system.
论文关键词：Discontinuous chaotic systems of fractional order,Filippov regularization,Cellina’s Theorem,Sigmoid function,Differential equations of fractional-order,Chaos control
论文评审过程：Available online 24 December 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.10.133
