Robust finite-time global synchronization of chaotic systems with different orders

Ahmad, Israr; Shafiq, Muhammad; Saaban, Azizan; Ibrahim, Adyda Binti; Shahzad, Mohammad

doi:10.1016/j.ijleo.2016.05.065

Cited by 30 publications

(25 citation statements)

References 24 publications

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“…It should be noted that the systems considered are either of some specific forms or analyzed without considering the unknown parameters. Then, by taking unknown model uncertainties and external disturbances into account, global finite-time synchronization of two chaotic systems with different orders is investigated in [35].…”

Section: Imentioning

confidence: 99%

Global finite-time synchronization of different dimensional chaotic systems

Zhang

Mashino

Peng

2017

Applied Mathematical Modelling

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This paper addresses the problem of global finite-time synchronization of two different dimensional chaotic systems. Firstly, the definition of global finite-time synchronization of different dimensional chaotic systems are introduced. Based on the finitetime stability methods, the controller is designed such that the chaotic systems are globally synchronized in a finite time. Then, some uncertain parameters are adopted in the chaotic systems, new control law and dynamical parameter estimation are proposed to guarantee that the global finite-time synchronization can be obtained. By considering a dynamical parameter designed in the controller, the adaptive updated controller is also designed to achieve the desired results. At last, the results of two different dimensional chaotic systems are also extended to two different dimensional networked chaotic systems. Finally, three numerical examples are given to verify the validity of the proposed methods.

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Section: Imentioning

confidence: 99%

Global finite-time synchronization of different dimensional chaotic systems

Zhang

Mashino

Peng

2017

Applied Mathematical Modelling

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“…And the synchronization of different dimensional chaotic systems has been studied in Refs. [3,4,8,12,26,41]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [4], the authors used the nonlinear feedback control method to achieve the robust finite-time increasing order and reduced order synchronization of the chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation

Ma¹,

Wu²,

Sun³

2017

Kybernetika

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“…This idea of chaos synchronization was first introduced in [1]. After the remarkable work [1], chaos synchronization has been widely investigated in the relevant literature [2][3][4]. At present, chaos synchronization has received increasing interest in many scientific disciplines, such as chemical processes and biological systems [5], cryptosystem [6], information processing [7], secure communications [8], and many physical systems [9].…”

Section: Introductionmentioning

confidence: 99%

“…Secondly, by just placing the poles of the linearized error system to the left half of the complex, many possible choices are available for the construction of linear controller parameters (LCPs). With this hypothesis, the message signal could be easily extracted from the communications channel during the transmission because of any possible choice of the LCPs [4]. This may lead to security problems.…”

Section: Introductionmentioning

confidence: 99%

Controller Parameter Optimization for the Robust Synchronization of Chaotic Systems with Known and Unknown Parameters

Ahmad

Saaban

Ibrahim

2017

J. Uncertain. Anal. Appl.

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In this paper, a synchronization problem of a three-dimensional (3-D) Coullete chaotic system using the active-and adaptive-based synchronization control techniques is addressed. Based on the Routh-Hurwitz criterion and using the active control algorithm, a single control function is considered and a computational study is performed to identify the correct balance between the converging rates of the synchronization error signals to the origin and magnitude of the linear controlling parameters (LCPs) for the globally exponential synchronization (GES) between two identical 3-D Coullete chaotic systems. In order to achieve the complete synchronization (CS) objective with unknown model uncertainties, external disturbances, and unknown time-varying parameters, a novel nonlinear adaptive synchronous controller is proposed and suitable adaptive laws of time-varying parameters are designed that accomplish the asymptotic synchronization between two identical uncertain 3-D Coullete chaotic systems. The two synchronizing controlling approaches are applied to investigate the CS phenomenon, and the results are compared. Open research problems are also discussed. All simulations results are carried out to validate the effectiveness of the proposed synchronization control approaches by using Mathematica 10.0.

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Robust finite-time global synchronization of chaotic systems with different orders

Cited by 30 publications

References 24 publications

Global finite-time synchronization of different dimensional chaotic systems

Global finite-time synchronization of different dimensional chaotic systems

Adaptive finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation

Controller Parameter Optimization for the Robust Synchronization of Chaotic Systems with Known and Unknown Parameters

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