Average Consensus in Networks of Multi-Agent with Multiple Time-Varying Delays

• 作者: Hui YU Tiecheng ZHANG
• 来源期刊: 通讯、网络与系统学国际期刊(英文)
• 学科: 工学
• 关键词: AVERAGE CONSENSUS MULTI-AGENT System Multiple TIME-VARYING DELAYS Linear Matrix INEQUALITY
• 年，卷（期）: 2010,（2）
• 页码范围: 196-203
• 页数: 8页
• 分类号: TP1

摘要

The average consensus in undirected networks of multi-agent with both fixed and switching topology coupling multiple time-varying delays is studied. By using orthogonal transformation techniques, the original system can be turned into a reduced dimensional system and then LMI-based method can be applied conveniently. Convergence analysis is conducted by constructing Lyapunov-Krasovskii function. Sufficient conditions on average consensus problem with multiple time-varying delays in undirected networks are obtained via linear matrix inequality (LMI) techniques. In particular, the maximal admissible upper bound of time-varying delays can be easily obtained by solving several simple and feasible LMIs. Finally, simulation examples are given to demonstrate the effectiveness of the theoretical results.