Adaptive synchronization of complex networks

DeLellis, Pietro; Bernardo, Mario di; Sorrentino, Francesco; Tierno, A.

doi:10.1080/00207160701704580

Cited by 44 publications

(20 citation statements)

References 10 publications

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“…Ongoing work is devoted to simplify the assumptions of Theorem 1, which can be difficult to check in certain circumstances. We wish to emphasize that the approach presented can be successfully used to explain the behaviour of the adaptive strategies presented recently in [7], [8]. The scheme presented can be useful in all those applications where synchronization needs to be attained in the presence of uncertainties and noise, when fixed coupling gains could not guarantee global asymptotic stability.…”

Section: Discussionmentioning

confidence: 96%

“…The vertex-based strategy in [7], where each node has a different coupling gain, is described by the following adaptation law:…”

Section: A Model Descriptionmentioning

confidence: 99%

“…In many cases, it is more likely that the choice is local so that the interaction strenght varies from node to node in the network. In [7], a new local strategy, named vertex-based strategy, has been introduced. An alternative strategy was also independently described in [8].…”

Section: Introductionmentioning

confidence: 99%

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Vertex-based adaptive synchronization of complex networks

DeLellis

Bernardo

Garofalo

2008

2008 IEEE International Symposium on Circuits and Systems

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This paper is concerned with the analysis of the synchronization of networks of nonlinear oscillators through an innovative adaptive strategy. In particular, time-varying feedback coupling gains are considered, whose derivative is made directly dependent on the local synchronization error at each vertex in the network. It is shown that, under appropriate conditions, the strategy is indeed successful in guaranteeing the achievement of a common synchronous evolution for all oscillators in the network. The theoretical derivation is complemented by its validation on a set of representative examples

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Section: Discussionmentioning

confidence: 96%

“…The vertex-based strategy in [7], where each node has a different coupling gain, is described by the following adaptation law:…”

Section: A Model Descriptionmentioning

confidence: 99%

See 1 more Smart Citation

Vertex-based adaptive synchronization of complex networks

DeLellis

Bernardo

Garofalo

2008

2008 IEEE International Symposium on Circuits and Systems

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“…In general, the coupling gain is supposed to be identical for all edges in the network and constant in time. Many realistic network systems are characterized instead by evolving, adapting coupling gains which change in time according to different environmental conditions, particularly in the biological networks [9][10][11][12][13][14][15]. In this paper, we study synchronization of a typical neuronal network with a local adaptation control strategy where each node or edge is relating to an adaption coupling gain.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of neuronal networks through local adaptive coupling

Shan

Miao

Dong

et al. 2014

2014 International Conference on Mechatronics and Control (ICMC)

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In this paper, we consider the cortico-cortical network of cats' brain, and discuss the related synchronization under the framework of adaptive evolving networks. Based on the decentralized adaptive coupling control strategies, we show that the synchronization can be achieved with the adaptive coupling strengths reaching finite steady values. Moreover, we find that when complete synchronization is achieved, the coupling strengths become correlated with the topology of the cortico-cortical networks.

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“…Namely, consensus issues might be solved by borrowing the results on synchronisation of complex networks [26,32]. Very recently, many adaptive strategies have been presented for synchronising complex networks [33][34][35][36][37][38][39]. In [33], it has been shown that an adaptive strategy, based on information of the dynamics of nodes, acting on the coupling strengths of networks, can be effective in enhancing the stability of network synchronisation.…”

Section: Introductionmentioning

confidence: 99%

Consensus of nonlinear multi‐agent systems with adaptive protocols

Wang

Feng

Chen

et al. 2014

IET Control Theory & Applications

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This study is concerned with the problem of dynamical distributed consensus for multi-agent systems with nonlinear dynamics. Following the nearest neighbour rule, an adaptive consensus protocol is designed for such systems without using any global information, where the coupling weight of an agent from its neighbours adaptively updates according to the differences from the mean activity of the agent and its neighbours. The analysis shows that, under some mild assumptions, the adaptive law can achieve local and global consensus for any network with connected communication graph. Numerical simulations, illustrated by a common second-order consensus example, are performed to demonstrate the effectiveness of the presented results.

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Adaptive synchronization of complex networks

Cited by 44 publications

References 10 publications

Vertex-based adaptive synchronization of complex networks

Vertex-based adaptive synchronization of complex networks

Synchronization of neuronal networks through local adaptive coupling

Consensus of nonlinear multi‐agent systems with adaptive protocols

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