2020/02/27 by Yamin Yan, Yan, Yamin, Sonja Stuedli +6 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Computer network #Computer science #Discrete time and continuous time #Distributed Control Multi-Agent Systems #Distributed computing #Electrical engineering #Engineering #FOS: Electrical engineering #Gene Regulatory Network Analysis #Ground #Mathematics #Neural Networks Stability and Synchronization #Scalability #Scaling #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2002.11938
21st IFAC World Congress, 2020, to appear
arxiv created 2020/02/27 · openalex publication_date 2020/02/27 · arxiv updated 2020/02/28 · openalex created_date 2020/03/06 · openalex updated_date 2026/08/04
We investigate the disruption of discrete-time consensus problems via grounding. Loosely speaking, grounding a network occurs if the state of one agent no longer responds to inputs from other agents and/or changes its dynamics. Then, the agent becomes a leader or a so called stubborn agent. The disruption of the agent can be caused by internal faults, safety protocols or externally due to a malicious attack. In this paper we investigate how the grounding affects the eigenratio of expander graph families that usually exhibit good scaling properties with increasing network size. It is shown that the algebraic connectivity and eigenratio of the network will decrease due to the grounding causing the performance and scalability of the network to deteriorate, even to the point of losing consensusability. We then present countermeasures to such interruptions both in a passive and active manner. Our findings are supported by numerical simulations given within the paper.