论文标题
关于随机系统的结构稳定性
On the structural stability of random systems
论文作者
论文摘要
了解哪种系统结构可以维持稳定的动力学是大规模动态系统设计和分析的基本步骤。为了实现这一目标，我们在这里研究具有随机结构的系统的结构稳定性。正如通常这样做的那样，我们通过描述系统部分之间的相互作用的图来描述系统的结构，如果它描述了一个结构稳定的系统，即可以维持稳定动力学的系统，我们将其称为稳定。然后，我们考虑两个ERDOS-RENYI随机图模型，并为每种模型中的图形在结构上稳定。
Understanding which system structure can sustain stable dynamics is a fundamental step in the design and analysis of large scale dynamical systems. Towards this goal, we investigate here the structural stability of systems with a random structure. As is usually done, we describe the system's structure through a graph describing interactions between parts of the system, and we call a graph stable if it describe a structurally stable system, i.e., a system which can sustain stable dynamics. We then consider two Erdos-Renyi random graph models, and we obtain for each the probability that a graph sampled from these models is structurally stable.
