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Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems

机译:线性多智能体系统可导性的充要条件

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摘要

Consensusability of multi-agent systems (MASs) is a fundamental problem in the MAS research area, since when starting to design a consensus protocol, one should know whether or not there exists such a protocol that has the ability to make the MAS involved consensus. This technical note is aimed at studying the joint impact of the agent dynamic structure and the communication topology on consensusability. For the MASs with fixed topology and agents described by linear time-invariant systems, a necessary condition of consensusability with respect to a set of admissible consensus protocols is given, which is shown, under some mild conditions, to be necessary and sufficient.
机译:多主体系统(MAS)的可共识性是MAS研究领域中的一个基本问题,因为当开始设计共识协议时,人们应该知道是否存在能够使MAS参与共识的协议。本技术说明旨在研究代理动态结构和通信拓扑对共识性的共同影响。对于具有固定拓扑和由线性时不变系统描述的代理的MAS,给出了关于一组可允许的共识协议的共识性的必要条件,在某些温和条件下,这被证明是必要和充分的。

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