Time scale design for network resilience

2019/09/17 by Foight, Dillon R., de Badyn, Mathias Hudoba, Mesbahi, Mehran
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1909.07864

Abstract

In this paper we consider the H₂-norm of networked systems with multi-time scale consensus dynamics. We develop a general framework for such systems that allows for edge weighting, independent agent-based time scales, as well as measurement and process noise. From this general system description, we highlight an interesting case where the influences of the weighting and scaling can be separated in the design problem. We then consider the design of the time scale parameters for minimizing the H₂-norm for the purpose of network resilience.

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• Model Reduction of Consensus Network Systems via Selection of Optimal Edge Weights and Nodal Time-Scales
• Multi-agent Robust Consensus: Convergence Analysis and Application
• Scaled Consensus Problems on Switching Networks
• Scale-free Loopy Structure is Resistant to Noise in Consensus Dynamics in Complex Networks