Synchronization of Fractional Hyperchaotic Rabinovich Systems via Linear and Nonlinear Control with an Application to Secure Communications

Ouannas, Adel; Bendoukha, Samir; Volos, Christos; Boumaza, Nouri; Karouma, Abdulrahman

doi:10.1007/s12555-018-0216-5

Cited by 27 publications

(11 citation statements)

References 44 publications

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“…Rabinovich system is a four-dimensional hyperchaotic which include ten terms, three of them are nonlinearity with three parameters and descript by the following form [26,27]:…”

Section: Description Of Hyperchaotic Rabinovich Systemmentioning

confidence: 99%

An optimal control for complete synchronization of 4D Rabinovich hyperchaotic systems

Alhayali

Al-Azzawi

2020

TELKOMNIKA

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This paper derives new results for the complete synchronization of 4D identical Rabinovich hyperchaotic systems by using two strategies: active and nonlinear control. Nonlinear control strategy is considered as one of the powerful tool for controlling the dynamical systems. The stabilization results of error dynamics systems are established based on Lyapunov second method. Control is designed via the relevant variables of drive and response systems. In comparison with previous strategies, the current controller (nonlinear control) focuses on convergence speed and the minimum limits of relevant variables. Better performance is to achieve full synchronization by designing the control with fewer terms. The proposed control has certain significance for reducing the time and complexity for strategy implementation.

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“…Rabinovich system is a four-dimensional hyperchaotic which include ten terms, three of them are nonlinearity with three parameters and descript by the following form [26,27]:…”

Section: Description Of Hyperchaotic Rabinovich Systemmentioning

confidence: 99%

An optimal control for complete synchronization of 4D Rabinovich hyperchaotic systems

Alhayali

Al-Azzawi

2020

TELKOMNIKA

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“…Rabinovich system is a four-dimensional hyperchaotic which include ten terms, three of them are nonlinearity with three parameters and descript by the following form [25,26]:…”

Section: Decription Ofhyperchaotic Rabinovich Systemmentioning

confidence: 99%

An optimal nonlinear control for anti-synchronization of Rabinovich hyperchaotic system

Alhayali

Al-Azzawi

2020

IJEECS

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This work derives new results for the anti-synchronization of 4D identical Rabinovich hyperchaotic systems by using two strategies: active and nonlinear control. The stabilization results of error dynamics systems are established based on Lyapunov second method. Control is designed via the relevant variables of drive and response systems. In comparison with previous strategies, the current controller (Nonlinear control) focused on the minimum possible limits for relevant variables. The better performance is realizing the anti- synchronization by designing a control with low terms. After obtaining analytical results of the proposed controller, numircal simulation is carried out using Matlab. The graphical results prove validity and applicability of proposed control without know any parameter.The proposed control has certain significance for reducing the time and complexity for strategy implementation.

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“…The work on applications of chaotic synchronization in secure communication has grown dramatically in recent years [ 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. Developing control systems for synchronization of various chaotic systems has been one of the main focuses of prior works, aiming to improve security in communication.…”

Section: Introductionmentioning

confidence: 99%

“…Ouannas et al [ 33 ] adopted linear and nonlinear controllers to synchronize in secure telecommunications applications. The improved Robinovich chaotic system employed in this study is of the fractional order type.…”

Section: Introductionmentioning

confidence: 99%

Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

Javan

Shoeibi

Zare

et al. 2021

Sensors

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In this paper, the multi-state synchronization of chaotic systems with non-identical, unknown, and time-varying delay in the presence of external perturbations and parametric uncertainties was studied. The presence of unknown delays, unknown bounds of disturbance and uncertainty, as well as changes in system parameters complicate the determination of control function and synchronization. During a synchronization scheme using a robust-adaptive control procedure with the help of the Lyapunov stability theorem, the errors converged to zero, and the updating rules were set to estimate the system parameters and delays. To investigate the performance of the proposed design, simulations have been carried out on two Chen hyper-chaotic systems as the slave and one Chua hyper-chaotic system as the master. Our results showed that the proposed controller outperformed the state-of-the-art techniques in terms of convergence speed of synchronization, parameter estimation, and delay estimation processes. The parameters and time delays were achieved with appropriate approximation. Finally, secure communication was realized with a chaotic masking method, and our results revealed the effectiveness of the proposed method in secure telecommunications.

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Synchronization of Fractional Hyperchaotic Rabinovich Systems via Linear and Nonlinear Control with an Application to Secure Communications

Cited by 27 publications

References 44 publications

An optimal control for complete synchronization of 4D Rabinovich hyperchaotic systems

An optimal control for complete synchronization of 4D Rabinovich hyperchaotic systems

An optimal nonlinear control for anti-synchronization of Rabinovich hyperchaotic system

Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

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