随着正系统理论与应用研究的深入，由若干正系统耦合而成的正复杂网络节点间通信问题受到广泛关注。复杂网络要求节点发送大量采样数据，势必导致更长的通信延迟、更大的丢包率，甚至网络拥塞；同时网络带宽限制和网络攻击，往往导致系统信息不完全。因此通信受限是正复杂网络研究中无法回避的问题。项目拟开展通信受限情况下正复杂网络的研究，旨在尽可能节约通信带宽，优化资源配置，降低网络攻击影响，提升系统可靠性。研究内容由浅入深，以简单通信受限下网络同步与一致性分析为起点，探讨带宽限制和网络攻击对系统的影响；继而研究常规通信受限下正复杂网络的建模、一致性和同步问题，构建网络化正复杂网络理论研究框架；在建立系统性能评价指标基础上，探讨系统自适应协同、控制优化及在传染病模型中的应用；最后研究通信协议参数和系统控制性能的跨层优化设计。项目研究成果将为交通流控制、传染病传播预测与控制等系统设计与控制提供新思路和理论依据。

As the studies on theory analysis and practical applications of positive systems developing rapidly, the communication problem of complex positive networks, which is coupled by several positive systems, has attracted much attention in the past few years. In complex networks, the nodes send sampled data simultaneously, which will inevitably lead to longer communication delays, larger packet loss rates, and even cause network congestion. On the other hand, network bandwidth limitations and network attacks often result in incomplete system information. Therefore, communication limitation is an unavoidable problem in the research of complex positive networks. This project intends to study the stability analysis and control optimization of complex positive networks with limited communication, aiming to, as much as possible, save the communication bandwidth, optimize the resource allocation, reduce the impact of network attacks, and improve system reliability. The research content starts from shallow to deep. We start from the network synchronization and consensus analysis under the constraints of simple communication. Discuss the impacts of bandwidth limitations and network attacks on control design. Then study the modeling problem of complex positive networks under the condition of common limited communication, consensus analysis and synchronization design, as well. And further construct the theoretical research framework of networked complex positive networks. On the basis of establishing system performance evaluation indicators, we discuss the adaptive collaborative control design, control optimization and application in infectious disease models. Finally, we study cross-layer optimization design issues between the communication protocols and system control performance. The research results of the project will provide new ideas and theory support to the system design and control of traffic flow control systems, infectious disease propagation prediction and control and some others.