A Geometric Approach to Stability Analysis of Asymmetric or Random Delayed Network Dynamics

• 成果类型: Article
• 署名作者: Zhou, Shijie; Yang, Luan; Qian, Xuzhe; Lin, Wei
• 署名单位: Fudan University; Fudan University; Fudan University; Fudan University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3527646
• 发表日期: 2025
• 页码: 4116-4123
• 关键词: Stability criteria; DELAYS; asymptotic stability; Thermal stability; Eigenvalues and eigenfunctions; Delay effects; Multi-agent systems; mathematical models; delay systems; switches; Distributed delay; random and asymmetric network; STABILITY; time delay; transcendental equation

摘要

Investigating network stability and synchronization of multiagent systems (MASs) with time delays is crucial in real-world applications. This often involves solving transcendental characteristic equations (TCEs) from system linearization. While stability results for TCEs with real-valued coefficients induced by symmetric networks are well-studied, there is a gap for complex-valued coefficients arising from asymmetric networks. To bridge this gap, we propose a geometric approach by studying stability crossing curves in the complex plane. This approach applies to various delay types, including distributed delays, and is demonstrated effective in stability analysis of MASs with both deterministic and random networks.