English

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

Information Theory 2009-09-18 v1 Multiagent Systems math.IT Optimization and Control

Abstract

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.

Keywords

Cite

@article{arxiv.0909.3165,
  title  = {Finite-time Consensus for Nonlinear Multi-agent Systems with Fixed Topologies},
  author = {Yilun Shang},
  journal= {arXiv preprint arXiv:0909.3165},
  year   = {2009}
}

Comments

11 pages, 3 figures

R2 v1 2026-06-21T13:47:26.269Z