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arXiv 0909.3165cs.ITcs.MAmath.ITmath.OC
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具有固定拓扑的非线性多智能体系统的瞬时一致性

Finite-time Consensus for Nonlinear Multi-agent Systems with Fixed Topologies

Yilun Shang

摘要:

本文研究了连续非线性多智能体系统的有限时间状态一致性问题。基于有限时间李雅普诺夫稳定性理论,我们提出了保证系统在有限时间内达成一致的充分条件,前提是底层有向网络包含一棵生成树。新的有限时间共识协议作为应用的标准的例子。模拟也来说明我们的理论结果。

英文摘要:

In this paper, we study finite-time state consensus problems for continuous nonlinear multi-agent systems. Building on the theory of finite-time Lyapunov stability, we propose sufficient criteria which guarantee the system to reach a consensus in finite time, provided that the underlying directed network contains a spanning tree. Novel finite-time consensus protocols are introduced as examples for applying the criteria. Simulations are also presented to illustrate our theoretical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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