Synchronization of memristor-based chaotic systems by a simplified control and its application to image en-/decryption using DNA encoding

Luo, Jing; Qu, Shaocheng; Chen, Yao; Xiong, Zhili

doi:10.1016/j.cjph.2019.09.031

Cited by 21 publications

(3 citation statements)

References 35 publications

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“…10 One of the demanding features of chaos synchronization is utilizing the systems' chaotic behavior to encrypt and decrypt the data in secure communication systems. 11 As mentioned above, the applications encourage researchers in different fields that developed several feedback control strategies to realize chaos synchronization. These include linear feedback controller, 12 adaptive control strategy, 13 linear separation method, 14 sliding mode control technique, 13 activation feedback controller, 15 and backstepping control approach, 16 among others.…”

Section: Introductionmentioning

confidence: 99%

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

Ahmad¹,

Shafiq

2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article reports the design of a novel finite-time robust nonlinear controller for the synchronization of two identical chaotic spacecraft. The proposed controller does not cancel nonlinear terms appearing in the chaotic spacecraft dynamics. Avoiding the cancelation of the nonlinear terms of the plant by the controller makes the closed-loop robust stable in the presence of uncertainties in the chaotic spacecraft parameters; this concept blooms base for the design of computationally efficient simple control law. The proposed finite-time robust nonlinear controller (1) synchronizes two nearly identical chaotic spacecraft in finite-time duration, (2) expedites the convergence of errors vector to zero without oscillation, and (3) eradicates the effects of external disturbances. Analysis based on the Lyapunov second theorem proves that the synchronization error converges fast and verifying the closed-loop’s robust global stability. The finite-time stability technique affirms the convergence of the synchronization error to zero in settling time. This research article also studies the effects of the exogenous disturbances and the controller parameter’s slowly smooth variations on the closed-loop performance. The controller parameter variation analysis sets the procedure for tuning the controller parameters. The computer-based simulation results validate the theoretical findings and provide a comparative performance analysis with the other recently proposed synchronization feedback controllers. This article uses Mathematica 12.0 version in the Microsoft 10 environment for all the simulations.

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Section: Introductionmentioning

confidence: 99%

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

Ahmad¹,

Shafiq

2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…Later, increasing research results prove that the chaotic system based on memristor behaves more complex dynamic behaviors and initial condition sensitivity [35,36]. In the consequence, combining memristor chaotic system (MCS) with cryptography, high security image encryption algorithms are designed, showing its great application value in image encryption, secure communication and other fields [37,38].…”

Section: Introductionmentioning

confidence: 99%

A Unified Framework for Finite-/Fixed-Time Synchronization of Memristor Chaotic Systems and Its Application in Image Encryption

L¹,

Jiang²,

Ge³

et al. 2021

Preprint

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This paper proposes a sliding-mode-based unified control framework to solve the synchronization problem of memristor chaotic systems. Both finite- and fixed-time synchronization of the memristor chaotic systems can be obtained in the uniform framework. According to the Lyapunov stability and finite-time stability theories, we demonstrate that the trajectories of error system reach the presented sliding-mode surface and converge to the origin along the surface in a finite/fixed time. Moreover, an image encryption algorithm is developed based on the presented control framework. Finally, the numerical simulations and the statistical performance analyses are discussed to illustrate the correctness of synchronization results, the effectiveness of the proposed encryption algorithm, and its potential applications in the scope of secure communication.

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“…In general, the appearance of coexisting attractors is associated with systems symmetry and depends closely on system initial conditions. Chaotic system with multiple attractors is able to deliver more complexity in chaos-based engineering applications such as neural networks [22], image encryption [23], control system [24] and random number generator [25]. Therefore, chaotic system with coexisting attractors has become a considerable interest at present.…”

Section: Introductionmentioning

confidence: 99%

Symmetric coexisting attractors in a novel memristors-based Chua's chaotic system

Yan¹,

Song²,

Shi³

et al. 2020

Preprint

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In this paper, based on the classic Chuas circuit, a charge-controlled memristor is introduced to design a novel four-dimensional chaotic system. The complex dynamics of the novel chaotic system such as equilibrium points, stability, dissipation, bifurcation diagrams, Lyapunov exponent spectra and phase portraits are investigated. By varying the initial conditions of the system, it is found from numerical simulations that the system shows some dynamics of great interests including double-wings chaotic attractors, coexisting periodic-chaotic bubbles, asymmetric and symmetric coexisting attrators. The results show that the novel circuit system has extreme multistablity.

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Synchronization of memristor-based chaotic systems by a simplified control and its application to image en-/decryption using DNA encoding

Cited by 21 publications

References 35 publications

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

A Unified Framework for Finite-/Fixed-Time Synchronization of Memristor Chaotic Systems and Its Application in Image Encryption

Symmetric coexisting attractors in a novel memristors-based Chua's chaotic system

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