Impulsive synchronization of complex-variable network with distributed time delays

Hui, Leng; Wu, Zhaoyan

doi:10.1016/j.physa.2019.122602

Cited by 13 publications

(4 citation statements)

References 49 publications

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“…however, for the other instant t < t, they still holds (19). Then, by making the combination of the inequalities ( 17) and ( 19), one could have…”

Section: J(z)dz + 𝜖]Dsmentioning

confidence: 99%

“…For example, Xuan et al investigated the cluster synchronization of complex networks with time‐varying system delay in Reference 18. Moreover, the impulsive synchronization of complex networks with distributed coupling time delays was investigated in Reference 19. In addition, the research on adaptive synchronization of uncertain coupling complex networks with discrete time delay was conducted in Reference 20.…”

Section: Introductionmentioning

confidence: 99%

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Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Wang

Tang

Park

et al. 2023

Adaptive Control & Signal

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SummaryIn this article, the global and exponential synchronization of Lur'e networks with hybrid time‐varying delays is investigated. For sake of saving control costs, a novel impulsive adaptive controller is presented, where the adaptive feedback control input is utilized to compensate the control effects of the impulsive signal. Meanwhile, suitable control gains are obtained according to the designing on adaptive updating laws. In view of the definition of average impulsive interval, the generalized comparison principle and the formula of parameter variation, sufficient conditions for achieving global and exponential synchronization of Lur'e dynamical networks are eventually derived. Two relevant numerical simulations are provided to illustrate the effectiveness of theoretical analysis and the control scheme.

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“…however, for the other instant t < t, they still holds (19). Then, by making the combination of the inequalities ( 17) and ( 19), one could have…”

Section: J(z)dz + 𝜖]Dsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Wang

Tang

Park

et al. 2023

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…In [19], authors applied complex-valued convolutional neural network in polarimetric SAR image classification. Naturally, dynamical networks coupled with complex-variable systems have drawn increasing attention from researchers and many valuable results have been obtained [25][26][27][28][29][30][31][32][33][34][35][36]. In [35], authors studied the outer synchronization of drive-response networks via intermittent pinning control.…”

Section: Introductionmentioning

confidence: 99%

Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control

2021

Mathematics

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In this paper, outer synchronization of complex-variable networks with complex coupling is considered. Sufficient conditions for achieving outer synchronization using static impulsive pinning controllers are first derived according to the Lyapunov function method and stability theory of impulsive differential equations. From these conditions, the necessary impulsive gains and intervals for given networks can be easily calculated. Further, an adaptive strategy is introduced to design universal controllers and avoid repeated calculations for different networks. Notably, the estimation algorithms of the impulsive gains and intervals are provided. Finally, three numerical examples are performed to verify the effectiveness of the main results.

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“…In order to serve the practical life better, complex networks with distributed time delays are worthy of serious investigation. Some types of synchronization of such networks have been investigated [23]- [25]. However, to our best knowledge, up to now there are no works concerning FPS for these networks.…”

Section: Introductionmentioning

confidence: 99%

Function Projective Synchronization of Complex Networks With Distributed Delays via Hybrid Feedback Control

2020

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Due to its applications, some types of synchronization of complex networks have been intensively investigated. In particular, as a more general type of synchronization, function projective synchronization (FPS) has been investigated for complex networks with time delay or with time-varying delay. In this paper, we investigate FPS of complex networks with distributed delays. It is proven that, FPS of such networks can be realized via hybrid feedback control. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method. INDEX TERMS Function projective synchronization, Complex networks, Distributed delays, Hybrid feedback control.

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Impulsive synchronization of complex-variable network with distributed time delays

Cited by 13 publications

References 49 publications

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control

Function Projective Synchronization of Complex Networks With Distributed Delays via Hybrid Feedback Control

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