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A generalized finite-time analytical approach for the synchronization of chaotic and hyperchaotic systems.
- Source :
-
Multidiscipline Modeling in Materials & Structures (Emerald Group Publishing Limited) . 2021, Vol. 17 Issue 3, p681-697. 17p. - Publication Year :
- 2021
-
Abstract
- Purpose: The purpose of this paper is to develop some interesting results in the field of chaotic synchronization with a new finite-time controller to reduce the time of convergence. Design/methodology/approach: This article proposes a finite-time controller for the synchronization of hyper(chaotic) systems in a given time. The chaotic systems are perturbed by the model uncertainties and external disturbances. The designed controller achieves finite-time synchronization convergence to the steady-state error without oscillation and elimination of the nonlinear terms from the closed-loop system. The finite-time synchronization convergence reduces the hacking duration and recovers the embedded message in chaotic signals within a given preassigned limited time. The free oscillation convergence keeps the energy consumption low and alleviates failure chances of the actuator. The proposed finite-time controller is a combination of linear and nonlinear parts. The linear part keeps the stability of the closed-loop, the nonlinear part increases the rate of convergence to the origin. A generalized form of analytical stability proof is derived for the synchronization of chaotic and hyper-chaotic systems. The simulation results provide the validation of the accomplish synchronization for the Lu chaotic and hyper-chaotic systems. Findings: The designed controller not only reduces the time of convergence without oscillation of the trajectories which can run the system for a given time domain. Originality/value: This work is originally written by the author. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15736105
- Volume :
- 17
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Multidiscipline Modeling in Materials & Structures (Emerald Group Publishing Limited)
- Publication Type :
- Academic Journal
- Accession number :
- 149687624
- Full Text :
- https://doi.org/10.1108/MMMS-06-2020-0131