Robustness of Controlling Switched Networks Against Edge Failure

With the deepening of complex network study, the controllability of switched networks has received extensive attention and made some progress. The robustness of controlling switched networks is an important study topic, where the robustness refers to the characteristics of the controlled system maintaining control under certain parameter perturbations. However, there are very few related work on the robustness of controlling switched networks. In this paper, we propose a framework based on the edge classification to quantify and analyze the robustness of controlling switched networks. Based on this framework, we compare the robustness of controlling switched networks and the corresponding static networks, and find that the robustness of switched networks have obvious advantages in dense and homogeneous networks. Then we study the initial nodes of critical edges, and find that their changes showed a single peak. In addition, an adding edge strategy is proposed to optimize the robustness of controlling switched networks.