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The DOI matches its Crossref record; 52 of the 52 references it cites were found in a registry or an index.

Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings

Yang Tang, Huijun Gao, Wei Zou, Kurths, Jürgen·2013·IEEE Transactions on Cybernetics

Abstract

In this paper, the distributed synchronization problem of networks of agent systems with controllers and nonlinearities subject to Bernoulli switchings is investigated. Controllers and adaptive updating laws injected in each vertex of networks depend on the state information of its neighborhood. Three sets of Bernoulli stochastic variables are introduced to describe the occurrence probabilities of distributed adaptive controllers, updating laws and nonlinearities, respectively. By the Lyapunov functions method, we show that the distributed synchronization of networks composed of agent systems with multiple randomly occurring nonlinearities, multiple randomly occurring controllers, and multiple randomly occurring updating laws can be achieved in mean square under certain criteria. The conditions derived in this paper can be solved by semi-definite programming. Moreover, by mathematical analysis, we find that the coupling strength, the probabilities of the Bernoulli stochastic variables, and the form of nonlinearities have great impacts on the convergence speed and the terminal control strength. The synchronization criteria and the observed phenomena are demonstrated by several numerical simulation examples. In addition, the advantage of distributed adaptive controllers over conventional adaptive controllers is illustrated.

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Metadata

Authors
Tang, Y., Gao, H., Zou, W., & Kurths, J.
Venue
IEEE Transactions on Cybernetics
Published
2013-02
Volume
43
Issue
1
Pages
358-370
ISSN
  • 2168-2267 (ISSN-L)
  • 2168-2275
OpenAlex
W2004117240
Cited by
296
References
52
FWCI
60.77
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings. https://app.cochat.ai/papers/10.1109/tsmcb.2012.2207718
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Tang, Y., Gao, H., Zou, W., & Kurths, J. (2013). Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings. IEEE Transactions on Cybernetics. https://doi.org/10.1109/tsmcb.2012.2207718

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