The control of a class of uncertain fractional-order chaotic systems via reduced-order method

In this paper we mainly discuss the control of a class of 3,4-dimensional fractional-order chaotic systems with unknown parameter, model uncertainties and external disturbances. Based on the fractional-order extension of Lyapunov stability theorem some novel criteria for the control of a class of 3,4-dimensional fractional-order chaotic systems are proposed via reduced-order method. Moreover, by using our results the control and synchronization of the fractional-order Rössler system is also investigated. Numerical simulations are shown to further verify the feasibility of the presented control schemes.