论文标题
弹性有限的时间共识：不连续的系统观点
Resilient Finite Time Consensus: A Discontinuous Systems Perspective
论文作者
论文摘要
已经提出了许多算法在先前的文献中，以确保在存在对抗攻击或故障的情况下，有弹性的多代理共识。先前的大多数工作都呈现出良好的结果，以关注离散时间或离散的连续时间系统。较少的作者探索了在不离散化的情况下将类似的弹性技术应用于连续时间系统。这些先前的作品通常考虑渐近收敛性，并做出诸如对抗信号的连续性，在系统动力学切换实例之间存在停留时间的存在，或者存在不转为不良的信任药物的存在。在本文中，我们通过删除许多这些假设并使用不连续的系统理论来扩展对弹性连续时间系统的研究，以为正常行为的具有非线性动力学的供应剂提供条件，尽管存在对抗剂，但在有限的时间内达成共识。
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.
