期刊
IEEE TRANSACTIONS ON CYBERNETICS
卷 43, 期 1, 页码 358-370出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2012.2207718
关键词
Bernoulli stochastic variables; complex dynamical networks; distributed synchronization; multi-agent systems; multiple random nonlinearities; multiple random updating laws
类别
资金
- 973 Project [2009CB320600]
- National Natural Science Foundation of China [60825303, 60834003, 61021002, 11147179]
- Key Laboratory of Integrated Automation for the Process Industry (Northeastern University)
- Fundamental Research Funds for the Central Universities of China [2011QN161]
- SUMO (EU)
- DFG [IRTG 1740]
- Alexander von Humboldt Foundation of Germany
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据