Application of Takagi–Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization

Chen, Diyi; Zhao, Wei; Sprott, Julien Clinton

doi:10.1007/s11071-013-0880-1

Cited by 108 publications

(50 citation statements)

References 35 publications

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“…(iv) It should be a quite interesting work to expand aforementioned results to study the anti-synchronization [27] of the discrete chaotic dynamic systems by using the linear state error feedback control.…”

Section: Discussionmentioning

confidence: 99%

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Xin

2015

Entropy

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A projective synchronization scheme for a kind of n-dimensional discrete dynamical system is proposed by means of a linear feedback control technique. The scheme consists of master and slave discrete dynamical systems coupled by linear state error variables. A kind of novel 3-D chaotic discrete system is constructed, to which the test for chaos is applied. By using the stability principles of an upper or lower triangular matrix, two controllers for achieving projective synchronization are designed and illustrated with the novel systems. Lastly some numerical simulations are employed to validate the effectiveness of the proposed projective synchronization scheme.

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Section: Discussionmentioning

confidence: 99%

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Xin

2015

Entropy

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“…But it is found that information signal masked with chaotic signal is not much secure, therefore to enhance the grade of security of information signal several types of synchronizations were suggested among which projective synchronization was found much effective for secure communication because of its unpredictable multiple factor. Several methods like active control [22], adaptive control [23], feedback control [24], pinning control [25], sliding mode control [26], fuzzy control [27] etc have been studied and found effective to obtain the desired synchronization. Some work have also been done on synchronization of fractional order and integer order system [28,29], but still a very few work have been done on different order and different dimensional systems.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of dynamical systems of different orders and different dimensions

Khan¹,

Budhraja²,

Ibraheem³

2018

Malaya J. Mat.

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A method of tracking control is proposed to achieve synchronization between the systems of fractional order and integer order. This article presents two cases of synchronization, in first case synchronization for three dimensional integer order Cai system and a four dimensional fractional order hyperchaotic Gao system is achieved and in second case synchronization for three dimensional fractional order Newton-Leipnik system and four dimensional hyperchaotic Pang-Liu system is achieved by tracking control method. Computational results shows that the controllers designed are useful to synchronize the considered master and slave systems in both the cases. In order to execute numerical results Matlab software is used.

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“…Chaos synchronization has been a hot topic [17][18][19]. There are many synchronization schemes for fractional differential systems, such as synchronization via the linear control technique [20], synchronization via the adaptive sliding mode [21], projective synchronization via single sinusoidal coupling [22], hybrid chaos synchronization with a robust method [23], synchronization with activation feedback control [24], synchronization via a scalar transmitted signal [25], adaptive synchronization via a single driving variables [26], synchronization via novel active pinning controls [27].…”

Section: Introductionmentioning

confidence: 99%

Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control

Xin

Liu

Hou

et al. 2017

Entropy

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By using a linear feedback control technique, we propose a chaos synchronization scheme for nonlinear fractional discrete dynamical systems. Then, we construct a novel 1-D fractional discrete income change system and a kind of novel 3-D fractional discrete system. By means of the stability principles of Caputo-like fractional discrete systems, we lastly design a controller to achieve chaos synchronization, and present some numerical simulations to illustrate and validate the synchronization scheme.

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Application of Takagi–Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization

Cited by 108 publications

References 35 publications

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Synchronization of dynamical systems of different orders and different dimensions

Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control

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