Structural Analysis of Synchronization in Networks of Linear Oscillators

• 成果类型: Article
• 署名作者: Tuna, S. Emre
• 署名单位: Middle East Technical University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3097542
• 发表日期: 2022
• 页码: 3537-3544
• 关键词: Synchronization; oscillators; Couplings; CONTROLLABILITY; Connectors; Linear systems; Springs; Oscillator networks; strong structural synchronization (SSS); structural synchronization (SS)

摘要

In undirected networks of identical linear oscillators coupled through dissipative and restorative connectors (e.g., pendulums undergoing small vibrations connected via dampers and springs), the relation between asymptotic synchronization and coupling structure is studied. Conditions on the interconnection under which synchronization can be achieved for some selection of coupling strengths are established. How to strengthen those conditions so that synchronization is guaranteed for all admissible parameter values is also presented.