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
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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2 retracted
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“The main feature of distributed controllers/algorithms/protocals is that a vertex can utilize the information of its neighbors with high efficiency but does not need the information of entire networks [19].”
BackgroundInfluentialYALMIP : a toolbox for modeling and optimization in MATLAB
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Synchronization a universal concept in nonlinear sciences
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Cited by
Xu, W., Ho, D. W. C., Li, L., & Cao, J. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2015.2510746 · Cited by 346
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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