Abstract
This paper is concerned with the problem of synchronization of nonidentical fractional-order chaotic and hyperchaotic systems, where the mismatched fractional derivatives are taken into account. A fraction–integer integral switching surface is constructed and a sliding mode controller is synthesized to guarantee the reachability of the sliding surface. Based on the theory of fractional-order linear systems, stability of the closed-loop system is analyzed. In addition, two numerical examples are given to illustrate the effectiveness of the proposed method.
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