A comparative study on chaos control in a fractional-order Rossler system and its time delayed feedback control system

. How to control chaos is a challenging problem in the Rossler system. A fractional-order Rossler system and its time delayed feedback control system are studied in this paper. A predictor-corrector algorithm for fraction-order Rossler systems and its time delayed feedback control system is given. The main aim of the current paper is to compare the control effects of our given methods, namely adjusting different fractional orders and time delayed feedback control items at different equations, to make the system reach a stable state. And in controlling chaos, the fractional-order Rossler system with time delayed feedback control is more effective. Numerical examples are conducted to confirm effectiveness of the proposed method.