论文标题
关于扩散耦合多代理系统的内部稳定性以及取消文化的危险
On the Internal Stability of Diffusively Coupled Multi-Agent Systems and the Dangers of Cancel Culture
论文作者
论文摘要
我们研究内部稳定性在弥散耦合的控制架构的背景下，在多代理系统（即著名的共识协议）中，用于线性时间不变的代理。我们得出了一个条件，该条件无法由该类别的任何控制器稳定下来。在有限维的情况下，条件指出，扩散控制器无法稳定共享共同不稳定动态的代理，包括指示。该课程始终包含像集成商这样的同质不稳定代理组。我们认为，根本原因是这些控制器甚至静态属性都起着关键作用的固有取消对不稳定的代理动力学的内在取消。内在缺乏内部稳定性解释了受测量噪声或外源性干扰影响时某些分布式控制方案的臭名昭著的行为。
We study internal stability in the context of diffusively-coupled control architectures, common in multi-agent systems (i.e. the celebrated consensus protocol), for linear time-invariant agents. We derive a condition under which the system can not be stabilized by any controller from that class. In the finite-dimensional case the condition states that diffusive controllers cannot stabilize agents that share common unstable dynamics, directions included. This class always contains the group of homogeneous unstable agents, like integrators. We argue that the underlying reason is intrinsic cancellations of unstable agent dynamics by such controllers, even static ones, where directional properties play a key role. The intrinsic lack of internal stability explains the notorious behavior of some distributed control protocols when affected by measurement noise or exogenous disturbances.
