Linear feedback control for fractional-order chaotic systems with fractional order 1 ≤ q < 2

This paper investigates linear state feedback controller design for a class of fractional-order chaotic systems with fractional order 1 ≤ q < 2. The fractional derivative is described in Caputo form. By utilizing Mittag-Leffler function as well as the Gronwall inequality, a linear state feedback controller is designed and a sufficient condition is derived for the asymptotical stability of the fractional-order chaotic system. The proposed method can be used to systems with identical or non-identical fractional orders. Finally simulation results are presented to show that the proposed control method is reliable and easy to construct. © 2014 ICIC International.