随机系统的结构稳定性
On the structural stability of random systems
摘要：
了解哪种系统结构能够维持稳定的动力学是设计和分析大规模动力系统的基本步骤。为了达到这个目标，我们在这里研究具有随机结构的系统的结构稳定性。正如通常所做的那样，我们通过一个描述系统各部分之间相互作用的图来描述系统的结构，如果一个图描述的是一个结构稳定的系统，我们称之为稳定图，即，一个可以维持稳定动态的系统。然后，我们考虑两个Erdos-Renyi随机图模型，我们得到每个概率，从这些模型中采样的图是结构稳定的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
