This paper studies resilient coordinated control over networks with hybrid dynamics and malicious agents. In a hybrid multi‐agent system, continuous‐time and discrete‐time agents concurrently exist and communicate through local interaction. We introduce the notion of heterogeneous robustness to capture the topological structure and facilitate convergence analysis of hybrid agents over multiple subnetworks, where the exact number and identities of malicious agents are not known. A hybrid resilient strategy is first designed to ensure group consensus of the heterogeneously robust network admitting completely distributed implementation. We then develop a scaled consensus protocol which allows different clusters within each subnetwork, providing further flexibility over the resilient control tasks. Finally, some numerical examples are worked out to illustrate the effectiveness of theoretical results.

中文翻译：

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具有混合动力的异构鲁棒网络中的弹性组共识

本文研究了具有混合动力和恶意代理的网络的弹性协调控制。在混合多代理系统中，连续时间代理和离散时间代理同时存在并通过本地交互进行通信。我们引入了异构鲁棒性的概念，以捕获拓扑结构并促进对多个子网中的混合代理的收敛分析，而其中未知的恶意代理的确切数量和身份是未知的。首先设计一种混合弹性策略，以确保允许完全分布式实现的异构健壮网络的群体共识。然后，我们开发了一种可扩展的共识协议，该协议允许在每个子网中使用不同的群集，从而为弹性控制任务提供了更大的灵活性。最后，