Quasi-synchronization analysis for fractional-order delayed complex dynamical networks

Xu, Liguang; Chu, Xiaoyan; Hu, Hongxiao

doi:10.1016/j.matcom.2021.01.016

Cited by 19 publications

(4 citation statements)

References 30 publications

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“…Definition 4 [16] System (1) is said to be quasisynchronized with state (2) for any initial value if there exists a small error bound ε > 0 such that lim…”

Section: Model Descriptionmentioning

confidence: 99%

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Quasi-synchronization of fractional-order complex networks with random coupling via quantized control

Zhang 张,

Cheng 程,

Ding 丁

2023

Chinese Phys. B

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This study investigated the quasi-synchronization of fractional-order complex networks (FCNs) with random coupling via quantized control. First, based on the logarithmic quantizer theory and Lyapunov stability theory, a new quantized feedback controller, which can make all nodes of complex networks quasisynchronization and eliminate the disturbance of random coupling in the system state, was designed under non-delay conditions. Second, we extended the theoretical results under non-delay conditions to time-varying delay conditions and designed another form of quantization feedback controller to ensure that the network achieves quasi-synchronization. Furthermore, the error bound of quasi-synchronization was obtained. Finally, we verified the accuracy of our results using two numerical simulation examples.

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“…Definition 4 [16] System (1) is said to be quasisynchronized with state (2) for any initial value if there exists a small error bound ε > 0 such that lim…”

Section: Model Descriptionmentioning

confidence: 99%

“…Recent research on quasi-synchronization has also made progress. [16,17] In Ref. [16], Xu et al studied a fractional-order CN model with delay and obtained global quasi-synchronization results by setting an appropriate intermittent controller.…”

Section: Introductionmentioning

confidence: 99%

Quasi-synchronization of fractional-order complex networks with random coupling via quantized control

Zhang 张,

Cheng 程,

Ding 丁

2023

Chinese Phys. B

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“…Based on this property, synchronization is widely applied in image processing [18], security communications [19] and other fields. Currently, various synchronizations have been investigated such as exponential synchronization [20], [21], Mittag-Leffler synchronization [22]- [24], complete synchronization [25] and projective synchronization [26]. In [27]- [30], the finite-time synchronization of FONNs was studied.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks With Time-Varying Delays

Hui

Yao

et al. 2022

IEEE Access

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In this paper, the adaptive synchronization of fractional-order complex-valued neural networks with time-varying delays(FOCVNNTDs) is investigated. First, two novel fractional-order differential inequalities with time delays are established, which can be seen as an extension of Halanay inequality. Besides, complete synchronization and quasi-projective synchronization of FOCVNNTDs are investigated based on the two novel inequalities using a novel adaptive controller. In addition, instead of separating the complex-valued neural networks into two real-valued networks, a non-decomposition method is adopted to study the adaptive synchronization of FOCVNNTDs, which avoids the difficulty and complexity of theoretical analysis. Finally, some numerical simulation examples are provided to demonstrate the validity of our theory.

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“…Reference [20] focused on the finite-time synchronization problem for fractional-order complex dynamical networks with intermittent control. Reference [21] studied the global exponential quasi-synchronization for fractional-order delayed dynamical networks via periodically intermittent pinning control. Reference [22] dealt with the finite-time synchronization problem between two different dimensional fractionalorder complex dynamical networks.…”

Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

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In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

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Quasi-synchronization analysis for fractional-order delayed complex dynamical networks

Cited by 19 publications

References 30 publications

Quasi-synchronization of fractional-order complex networks with random coupling via quantized control

Quasi-synchronization of fractional-order complex networks with random coupling via quantized control

Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks With Time-Varying Delays

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

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