On synchronization of random nonlinear complex networks

Zhang, Zhicheng; Zhang, Yan; Du, Yingxue

doi:10.1016/j.physd.2024.134396

Physica D: Nonlinear Phenomena

2024

DOI: 10.1016/j.physd.2024.134396

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On synchronization of random nonlinear complex networks

Zhicheng Zhang,

Yan Zhang,

Yingxue Du

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2024

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Cited by 1 publication

References 27 publications

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Synchronization of networked mechanical systems without velocity information

Jiang,

Zhang,

et al. 2024

Asian Journal of Control

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This paper studies the synchronization problem in a network of interconnected mechanical systems where the velocity information of the interacting agents is unavailable. To achieve this, a distributed law related to the kinetic and potential energies of the considered system is proposed. Specifically, by introducing an auxiliary system and a distributed filter, it is shown that the proposed algorithm enables the synchronization of the considered system by merely using the local position measurements. Moreover, it is also shown that, compared with the existing literature, the derived synchronization conditions are irrelevant to the eigenvalues of Laplacian matrix, thus circumventing the global information of the underlying system. Moreover, on condition that the absolute position information is available, it is also shown that apart from the synchronization of agents, the discrepancy between the position variable of the original system and that of the auxiliary variable tends to zero eventually. Finally, a concrete example and some comparisons are conducted to support the formulated setup and the obtained theoretical results.

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Synchronization of networked mechanical systems without velocity information

Jiang,

Zhang,

et al. 2024

Asian Journal of Control

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On synchronization of random nonlinear complex networks

Cited by 1 publication

References 27 publications

Synchronization of networked mechanical systems without velocity information

Synchronization of networked mechanical systems without velocity information

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