矩阵加权网络下基于自适应控制和动态事件触发策略的多智能体系统一致性
Consensus of Multi-Agent Systems Based on Adaptive Control and Dynamic Event-Triggered Strategies under Matrix-Weighted Networks
摘要: 本文采用自适应控制和事件触发策略研究了矩阵加权网络下多智能体系统的一致性问题。不同于传统的纯量加权网络，智能体及其邻居之间的通信由正定或半正定的矩阵刻画。利用矩阵权值将更有利于反映智能体之间的逻辑依赖关系。结合动态事件触发策略设计了两种不同的自适应控制协议，即基于边的自适应协议和基于节点的自适应协议，这些控制协议具有灵活调整控制输入的性能。给出了实现一致性的充分条件，并分析了芝诺行为的排除。最后，通过数值仿真验证了理论分析的有效性。
Abstract: This paper endeavors to investigate the consensus problem for multi-agent systems under matrix-weighted networks by employing adaptive control and event-triggered strategies. Different from conventional scalar-weighted networks, the interconnections among agents and their neighbors are characterized by positive definite or positive semi-definite matrices. The utilization of matrix weights is more beneficial to reflect the logical inter-dependency among agents. Two different adaptive control protocols, namely edge-based adaptive protocol and node-based adaptive protocol, are designed in combination with dynamic event-triggered strategies. These protocols can facilitate the flexible manipulation of control inputs. Sufficient conditions for achieving consensus are provided and the exclusion of Zeno behavior is analyzed. Finally, the validity of the theoretical analysis is verified through numerical simulation.
文章引用：崔梦佳, 刘开恩, 马晓蕾. 矩阵加权网络下基于自适应控制和动态事件触发策略的多智能体系统一致性[J]. 理论数学, 2025, 15(1): 327-341. https://doi.org/10.12677/pm.2025.151035

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