This article aims at providing tractable conditions of robust performance (RP) analysis for interconnected uncertain system with networked communication, which is composed of heterogeneous uncertain subsystems connected over an undirected graph. Each subsystem communicates with its neighbors through local packet‐based communication network asynchronously and independently. First, the interconnected uncertain system with networked communication is modeled as a hybrid system. Then sufficient conditions in terms of linear matrix inequalities (LMIs), which are related to the interconnection structure and the maximum allowable transmission interval (MATI) of each local network, are derived such that the interconnected uncertain system is robustly asymptotically stable and achieves the desired RP. These conditions only depend on the parameters of individual subsystem and local network. Finally, an example of power system is given to demonstrate the applicability and effectiveness of our results.

中文翻译：

---

基于网络的鲁棒性能分析，适用于通过无向图互连的不确定系统

本文旨在为具有网络通信的互连不确定系统提供可靠的鲁棒性能（RP）分析条件，该不确定系统由连接在无向图上的异构不确定子系统组成。每个子系统通过本地基于分组的通信网络异步且独立地与其邻居通信。首先，将具有网络通信的互连不确定系统建模为混合系统。然后，得出与每个本地网络的互连结构和最大允许传输间隔（MATI）相关的线性矩阵不等式（LMI）的充分条件，从而使互连的不确定系统具有鲁棒的渐近稳定性，并能够达到所需的期望值RP。这些条件仅取决于各个子系统和本地网络的参数。最后，以电源系统为例来说明我们的结果的适用性和有效性。