The exponential synchronization of a class of fractional-order chaotic systems with discontinuous input

This paper investigates the exponential synchronization of a class of fractional-order chaotic systems. The response system is controlled by input which may be either discontinuous or continuous variable. Moreover, the input is assumed to be affected by external disturbance. Based on the Mittag-Leffler function, sufficient conditions for achieving exponential synchronization of fractional-order chaotic systems have been derived. Numerical examples are presented by taking the fractional-order chaotic economical system as an example to verify and demonstrate the effectivenessof the proposed schemes.