论文标题
在矩阵加权和时间缩放图上共识的性能和设计
Performance and design of consensus on matrix-weighted and time scaled graphs
论文作者
论文摘要
在本文中，我们考虑了具有多个时间尺度共识动力学和矢量值值代理状态的网络系统的$ \ MATHCAL {H} _2 $ norm。这使我们能够通过检查边缘状态共识来探讨测量和过程噪声如何影响基质加权图的共识。特别是，我们强调了一个有趣的情况，即在设计问题中可以分开加权和缩放对$ \ MATHCAL {H} _2 $ NORM的影响。然后，我们考虑更新时间尺度参数和矩阵权重的优化算法，以最大程度地减少网络对注射噪声的响应。最后，我们提出了用于多车系统编队控制的应用。
In this paper, we consider the $\mathcal{H}_2$-norm of networked systems with multi-time scale consensus dynamics and vector-valued agent states. This allows us to explore how measurement and process noise affect consensus on matrix-weighted graphs by examining edge-state consensus. In particular, we highlight an interesting case where the influences of the weighting and scaling on the $\mathcal{H}_2$ norm can be separated in the design problem. We then consider optimization algorithms for updating the time scale parameters and matrix weights in order to minimize network response to injected noise. Finally, we present an application to formation control for multi-vehicle systems.
