Consensus of a Class of Nonlinear Systems With Varying Topology: A Hilbert Metric Approach

• 成果类型: Article
• 署名作者: Wu, Dongjun
• 署名单位: Lund University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3570225
• 发表日期: 2025
• 关键词: multiagent systems; persistent excitation; monotone systems; Synchronization; STABILITY; networks; oscillators; agreement; seeking

摘要

In this technical note, we introduce a novel approach to studying consensus of continuous-time nonlinear systems with varying topology based on the Hilbert metric. We demonstrate that this metric offers significant flexibility in analyzing consensus properties, while effectively handling nonlinearities and time dependencies. Notably, our approach relaxes key technical assumptions from some standard results while yielding stronger conclusions with shorter proofs. This framework provides new insights into nonlinear consensus under varying topology.