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arXiv · 2003.04139

On the structural stability of random systems

Mohamed Ali Belabbas·Artur Kirkoryan
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Abstract

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.

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Mohamed Ali Belabbas, Artur Kirkoryan. 2020-03-09. On the structural stability of random systems. https://arxiv.org/abs/2003.04139

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