Stochastic synchronization of complex network via a novel adaptive nonlinear controller

Wei-ping, Wang; Li, Lixiang; Peng, Haipeng; Xiao, Jinghua; Yang, Yixian

doi:10.1007/s11071-013-1153-8

Cited by 33 publications

(17 citation statements)

References 22 publications

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“…In addition, one can also integrate this CONVEF model into the geometric active contour as done in [34], the texture distinctiveness [50] can also be combined with the CONVEF model, and there may be potential applications of the CONVEF model to extract the curve skeleton [54] and to find axes of symmetry [55]. The ant foraging algorithms [59][60][61][62] can also be employed to optimize the segmentation results based on active contours, and this is the topic of further research.…”

Section: Discussionmentioning

confidence: 99%

Convolutional Virtual Electric Field for Image Segmentation Using Active Contours

et al. 2014

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Gradient vector flow (GVF) is an effective external force for active contours; however, it suffers from heavy computation load. The virtual electric field (VEF) model, which can be implemented in real time using fast Fourier transform (FFT), has been proposed later as a remedy for the GVF model. In this work, we present an extension of the VEF model, which is referred to as CONvolutional Virtual Electric Field, CONVEF for short. This proposed CONVEF model takes the VEF model as a convolution operation and employs a modified distance in the convolution kernel. The CONVEF model is also closely related to the vector field convolution (VFC) model. Compared with the GVF, VEF and VFC models, the CONVEF model possesses not only some desirable properties of these models, such as enlarged capture range, u-shape concavity convergence, subject contour convergence and initialization insensitivity, but also some other interesting properties such as G-shape concavity convergence, neighboring objects separation, and noise suppression and simultaneously weak edge preserving. Meanwhile, the CONVEF model can also be implemented in real-time by using FFT. Experimental results illustrate these advantages of the CONVEF model on both synthetic and natural images.

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Section: Discussionmentioning

confidence: 99%

Convolutional Virtual Electric Field for Image Segmentation Using Active Contours

et al. 2014

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“…Communication links of communication networks can be mail, telephone, QQ, letters, and so forth [27][28][29]. Compared with researches of single link networks [30][31][32][33], those of networks with multilinks are more practical and significant. There have been a lot of research achievements in this field so far [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays

Qiu

Peng

et al. 2017

Mathematical Problems in Engineering

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This paper concerns the problem of fixed/finite-time synchronization of hybrid coupled dynamical networks. The considered dynamical networks with multilinks contain only one transmittal time-varying delay for each subnetwork, which makes us get hold of more interesting and practical points. Two kinds of delay-dependent feedback controllers with multilinks as well as appropriate Lyapunov functions are defined to achieve the goal of fixed-time synchronization and finite-time synchronization for the networks. Some novel and effective criteria of hybrid coupled networks are derived based on fixed-time and finite-time stability analysis. Finally, two numerical simulation examples are given to show the effectiveness of the results proposed in our paper.

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“…However, as the fact that in the real world, due to the widespread of the random uncertainties such as stochastic forces on physical systems and noisy measurements caused by environmental uncertainties, and the finite speeds of transmission in the network, the nodes in each subnetwork are often inevitably influenced by these random uncertainties and time-varying delays. Therefore, in order to make the complex networks model much more realistic, it is significant to investigate the synchronization of complex networks with the consideration of both stochastic disturbances and time-varying delays [43][44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Cluster synchronization on multiple sub-networks of complex networks with nonidentical nodes via pinning control

2015

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In this paper, cluster synchronization on multiple sub-networks of complex networks with nonidentical nodes, stochastic disturbances and timevarying delays is investigated. Based on the leaderfollower model, an improved network structure model for realizing the cluster synchronization on multiple sub-networks of complex networks is presented. In this improved network model, the complex networks are divided into multiple pairs of matching sub-networks, each of which consists of a leaders' sub-network and a followers' sub-network, such that the dynamics of the nodes belonging to the same pair of matching subnetworks are identical, while the ones belonging to different pairs of unmatched sub-networks are nonidentical. Furthermore, the nodes in a sub-network may be inevitably influenced by some stochastic disturbances and time-varying delays. In this new setting, the aim is to design some suitable pinning controllers on the chosen nodes of each followers' sub-network, such that the proposed method for realizing the cluster synchronization has good immunity to the influence of these stochastic factors. By using the Lyapunov stability theory and stochastic differential equation theory, some cluster synchronization criteria, and a pinning scheme that the nodes with very large or low degrees are good candidates for applying pinning controllers, are established such that all the nodes in each sub-network are exponentially synchronized to the average state of their matching leaders. Then, the attack and robustness of the pinning scheme are discussed. Finally, some simulation examples are presented to verify the theoretical analysis.

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Stochastic synchronization of complex network via a novel adaptive nonlinear controller

Cited by 33 publications

References 22 publications

Convolutional Virtual Electric Field for Image Segmentation Using Active Contours

Convolutional Virtual Electric Field for Image Segmentation Using Active Contours

Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays

Cluster synchronization on multiple sub-networks of complex networks with nonidentical nodes via pinning control

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