Analysis and control of a 4D hyperchaotic system with passive control

Document Type : Research Paper


Department of Electrical Electronics Engineering, Faculty of Engineering, Sakarya University, Turkey


In this study, the dynamical behavior of the four-dimensional (4D) hyperchaotic system is analyzed. Its chaotic dynamical behaviors and basic dynamical properties are presented by Lyapunov exponents, stability analysis, and Kaplan-Yorke dimension. Then, the control of 4D hyperchaotic system is implemented by using passive control. The global asymptotic stability of the system is guaranteed by using Lyapunov function. Simulation results are shown to validate all theoretical analysis and demonstrate the effectiveness of the proposed control method. By applying the passive controllers, the system under chaotic behavior converges to the equilibrium point at origin asymptotically.


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Volume 12, Issue 1
May 2021
Pages 1087-1095
  • Receive Date: 02 October 2020
  • Revise Date: 11 November 2020
  • Accept Date: 27 November 2020