Simplifying Consensus Stability Analysis of Multi-Agent Systems Using the Concept of Convex Directions for Quasipolynomials ?

摘要

This paper addresses the consensus stability problem in a class of multi-agent system (MAS) with delays. We take three consensus protocols from the open literature and construct the corresponding stability maps in the space of control parameters using a decomposition of the network into a finite number of subsystems of reduced dimension. By inspecting the stability maps, we recognize that stability of the overall networks is determined byonly two subsystems.The observed stability “peculiarity”, shared by the three MAS under study, is not by chance. The notion ofconvex directionsfor stable quasipolynomials offers, indeed, a solid theoretical explanation of this fact.