English

Nonlinear consensus protocols with applications to quantized systems

Optimization and Control 2017-04-12 v1

Abstract

This paper studies multi-agent systems with nonlinear consensus protocols, i.e., only nonlinear measurements of the states are available to agents. The solutions of these systems are understood in Filippov sense since the possible discontinuity of the nonlinear controllers. Under the condition that the nonlinear functions are monotonic increasing without any continuous constraints, asymptotic stability is derived for systems defines on both directed and undirected graphs. The results can be applied to quantized consensus which extend some existing results from undirected graphs to directed ones.

Keywords

Cite

@article{arxiv.1704.03054,
  title  = {Nonlinear consensus protocols with applications to quantized systems},
  author = {Jieqiang Wei and Xinlei Yi and Henrik Sandberg and Karl Henrik Johansson},
  journal= {arXiv preprint arXiv:1704.03054},
  year   = {2017}
}

Comments

IFAC 2017

R2 v1 2026-06-22T19:13:25.293Z