Funding information Northumbria University, Grant/Award Number: 201920A1001 Summary This paper considers the resilient interval consensus problems for continuous-time time-varying multi-agent systems when a normal agent is surrounded by no more than r misbehaving agents. Each normal agent individually proposes a constraint interval which specifies their acceptable consensus range and misbehaving agents are anonymous and exert different arbitrary rules posing threats to the global performance of the systems. On the basis of our purely distributed resilient interval consensus strategy, we showed that if the network is (2r + 1)-robust and the interval intersection is nonempty, the normal agents are able to reach an agreement with the final consensus equilibrium in the interval intersection. A numerical example is presented to illustrate the theoretical results.

中文翻译：

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稳健网络中的弹性区间共识

资金信息诺森比亚大学，资助/奖励编号：201920A1001 摘要 本文考虑了当正常代理被不超过 r 个行为不端的代理包围时连续时间时变多代理系统的弹性间隔一致性问题。每个正常代理单独提出一个约束区间，指定他们可接受的共识范围，行为不端的代理是匿名的，并施加不同的任意规则，对系统的全局性能构成威胁。在我们纯分布式弹性区间共识策略的基础上，我们证明了如果网络是 (2r + 1)-robust 且区间交集非空，则正常代理能够在区间内与最终共识均衡达成一致路口。