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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 7 > No. 1


Modified Active Controller for the Complete Synchronization of Hyperchaotic Systems

PP: 1-6
Israr Ahmad, Azizan Bin Saaban, Adyda Binti Ibrahim, Mohammad Shahzad,
The synchronization speed, quality, robustness and cost of the controller design are the four important factors in chaotic synchronization phenomena. This paper presents improved results when two identical hyperchaotic systems are synchronized using a modified active control approach. The complete synchronization objective is achieved by means of only two stabilizing controllers with a single feedback linear controller gain that reduce the controller and synchronization cost significantly, and guarantee the globally exponential stability of the closed-loop in a short transient time. The advantages of the proposed modified active control approach are revealed by analytically and numerically comparing the amplitude of the synchronized error signals, synchronization transient speed and cost of the designed controller with the past published works in the literature concerned. The robust synchronization of two Lorenz-Stenflo hyperchaotic systems is taken as an example to verify the theoretical findings.

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