Resilient Finite-Time Consensus: A Discontinuous Systems Perspective.

Abstract

Many algorithms have been proposed in prior literature to guarantee resilient multi-agent consensus in the presence of adversarial attacks or faults. The majority of prior work present excellent results that focus on discrete-time or discretized continuous-time systems. Fewer authors have explored applying similar resilient techniques to continuous-time systems without discretization. These prior works typically consider asymptotic convergence and make assumptions such as continuity of adversarial signals, the existence of a dwell time between switching instances for the system dynamics, or the existence of trusted agents that do not misbehave. In this paper, we expand the study of resilient continuous-time systems by removing many of these assumptions and using discontinuous systems theory to provide conditions for normally-behaving agents with nonlinear dynamics to achieve consensus in finite time despite the presence of adversarial agents.

Bib

@inproceedings{DBLP:conf/amcc/UsevitchP20,
  author       = {James Usevitch and
                  Dimitra Panagou},
  title        = {Resilient Finite-Time Consensus: {A} Discontinuous Systems Perspective},
  booktitle    = {2020 American Control Conference, {ACC} 2020, Denver, CO, USA, July
                  1-3, 2020},
  pages        = {3285--3290},
  publisher    = {{IEEE}},
  year         = {2020},
  url          = {https://doi.org/10.23919/ACC45564.2020.9147904},
  doi          = {10.23919/ACC45564.2020.9147904},
  timestamp    = {Sun, 08 Aug 2021 01:40:57 +0200},
  biburl       = {https://dblp.org/rec/conf/amcc/UsevitchP20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}