Abstract

A robust control approach is presented to study the problem ofQ-Ssynchronization between Integer-order and fractional-order chaotic systems with different dimensions. Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to guarantee theQ-Ssynchronization betweenn-dimensional integer-order master system andm-dimensional fractional-order slave system. This paper provides further contribution to the topic ofQ-Schaos synchronization between integer-order and fractional-order systems and introduces a general control scheme that can be applied to wide classes of chaotic and hyperchaotic systems. Illustrative example and numerical simulations are used to show the effectiveness of the proposed method.

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