Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings
Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings
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DOI：
10.1109/tsmcb.2012.2207718
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发表时间：
2013-02
影响因子：
11.8
通讯作者：
Yang Tang;Huijun Gao;W. Zou;J. Kurths
中科院分区：
文献类型：
--
作者：
Yang Tang;Huijun Gao;W. Zou;J. Kurths
本文研究了具有控制器和非线性项的智能体系统网络在Bernoulli切换下的分布式同步问题。在网络的每个顶点注入的控制器和自适应更新律依赖于其邻域的状态信息。引入三组Bernoulli随机变量分别描述分布式自适应控制器、更新律和非线性的出现概率。利用李雅普诺夫函数方法，证明了具有多个随机发生的非线性项、多个随机发生的控制器和多个随机发生的更新律的智能体系统组成的网络的分布式同步在一定条件下可以均方实现.本文导出的条件可以用半定规划求解。此外，通过数学分析，我们发现耦合强度、Bernoulli随机变量的概率以及非线性的形式对收敛速度和终端控制强度都有很大的影响。数值模拟的例子证明了同步的标准和观察到的现象。此外，分布式自适应控制器的优势，传统的自适应控制器进行了说明。
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.