Adaptive synchronisation of fractional-order chaotic systems

A new stability theory of nonlinear dynamic systems isproposed, and a novel adaptive synchronisation method is presentedfor fractional-order chaotic and hyperchaotic systems based on thetheory described in this paper. In comparison with previous methods,not only is the present control scheme simple but also it employsonly one control strength, converges very fast, and it is alsosuitable for a large class of fractional-order chaotic andhyperchaotic systems. Moreover, this scheme is analytical and simpleto implement in practice. Numerical and circuit simulations areused to validate and demonstrate the effectiveness of the method.