Exponential Synchronization of Time-varying Linear Multi-agent Systems with Switching Topology
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摘要: 研究切换网络下时变连续线性多智能体系统的同步问题. 在智能体动态满足一致完全可控性条件下, 设计出同步协议. 通过将多智能体系统同步问题表示为矩阵无穷乘积形式并论证矩阵无穷乘积指数收敛到0, 给出了多智能体系统指数同步结论. 最后以仿真实例验证本文结论.
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关键词:
- 时变线性多智能体系统 /
- 指数同步 /
- 协议 /
- 矩阵无穷乘积
Abstract: The paper considers synchronization of continuous time-varying linear multi-agent systems with switching topology. Under an assumption that agent dynamics is uniformly completely controllable, the synchronizing protocol is designed. By relating the synchronization problem to an infinite matrix product, the exponential synchronization result is obtained by showing the exponential convergence of the infinite product. Finally, the effectiveness of the result is illustrated by a numeric example. -
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