Guo Yuru, Wang Zidong, Li Jun-Yi, Xu Yong
IEEE Trans Cybern. 2024 Dec;54(12):7248-7260. doi: 10.1109/TCYB.2024.3470648. Epub 2024 Nov 27.
In this article, the ultimately bounded synchronization problem is investigated for a class of discrete-time stochastic complex networks under the pinning control strategy. Communication between system nodes and the remote controller is facilitated via wireless networks subject to bit rate constraints. The system model is distinguished by the inclusion of randomly occurring nonlinearities. A coding-decoding transmission mechanism under constrained bit rates is introduced to characterize the digital transmission process. To achieve synchronization of the network nodes with the unforced target node, a pinning controller is specifically devised based on the information from partially selected nodes. Through the application of the stochastic analysis method, a sufficient condition is derived for ensuring the mean-square boundedness of the synchronization error system. In addition, an optimization algorithm is introduced to address bit rate allocation and the design of desired controller gains. Within the presented theoretical framework, the correlation between the mean-square synchronization performance and bit rate allocation is further elucidated. To conclude, a simulation example is provided to substantiate the efficacy of the recommended pinning control approach.
本文研究了一类离散时间随机复杂网络在牵制控制策略下的最终有界同步问题。系统节点与远程控制器之间通过受比特率约束的无线网络进行通信。系统模型的特点是包含随机出现的非线性。引入了一种在受限比特率下的编码 - 解码传输机制来描述数字传输过程。为了实现网络节点与无外力作用的目标节点同步，基于部分选定节点的信息专门设计了一个牵制控制器。通过应用随机分析方法，得出了确保同步误差系统均方有界的充分条件。此外，引入了一种优化算法来解决比特率分配和期望控制器增益的设计问题。在所提出的理论框架内，进一步阐明了均方同步性能与比特率分配之间的相关性。最后，提供了一个仿真示例来证实所推荐的牵制控制方法的有效性。
