ACTA

Impulsive Control and Synchronization of a New 5D Hyperchaotic System

K. Kemih^a, H. Bouraoui^a, M. Messadi^a and M. Ghanes^b
^aEACSys-Lamel Laboratory, Jijel University, Jijel, Algeria
^bECS-ENSEA, 06 av. du Ponceau, 95014 Cergy-Pontoise Cedex, France

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This paper investigates the control and the synchronization of a new 5D hyperchaotic system. Based on the impulsive control theory, some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled 5D hyperchaotic system, are obtained with varying impulsive interval. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed control and synchronization methodology.

DOI: 10.12693/APhysPolA.123.193
PACS numbers: 05.45.Gg, 05.45.Xt