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arXiv 2201.01505eess.SYcs.SY
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多智能体网络的传输约束一致性

Transmission-Constrained Consensus of Multiagent Networks

Xiaotian Wang, Housheng Su

AI总结:

本文研究了具有传输约束的多智能体系统一致性问题,提出受不规则失真或干扰影响的通用模型,利用代数拓扑与稳定性理论证明了系统平衡点的存在性、唯一性与渐近稳定性,并发现平衡状态值仅由网络结构和传输约束函数决定。

摘要:

本文研究了具有传输约束的多智能体系统的一致性问题。提出了一种新的多智能体系统模型,其中智能体之间的信息传输受到不规则失真或干扰(称为传输约束函数)的影响,该模型具有通用性,可应用于许多情况,如区间一致性和弃权(不执行)一致性。在传输约束一致性问题中,我们获得了智能体能够收敛到状态一致性的充分必要条件。此外,还研究了系统达到平衡点的更一般情况。基于代数拓扑和稳定性理论的一些技术,可以证明系统平衡点的存在性、唯一性和稳定性,这意味着系统能够达到渐近稳定的平衡。而且,平衡点的状态值仅由网络结构和传输约束函数决定,而不取决于智能体的初始状态。最后,给出了数值仿真以说明所提出的定理和推论。

英文摘要:

This paper studies the consensus problem for multiagent systems with transmission constraints. A novel model of multiagent systems is proposed where the information transmissions between agents are disturbed by irregular distortions or interferences (named transmission constraint functions), and this model is universal which can be applied in many cases, such as interval consensus and discarded consensus. In the transmission-constrained consensus problem, we obtain the necessary and sufficient condition that agents can converge to state consensus. Furthermore, a more general case is studied in which the system reaches an equilibrium. Based on some techniques of algebraic topology and stability theory, the existence, uniqueness and stability of the system equilibrium point can be proven, which means the system can reach an asymptotically stable equilibrium. Moreover, the state values of the equilibrium are only decided by the network structure and transmission constraint functions, but not the agents' initial states. Finally, numerical simulations are presented to illustrate the proposed theorems and corollaries.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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