Impulse Elimination Based State Synchronization of Descriptor Multi-Agent Systems via Scale-Free Protocol Design

Qiaofeng Wen, Zhenwei Liu, Shuai Du · 2025

This paper studies impulse elimination based state synchronization for homogeneous descriptor multi-agent systems (DMAS) based on localized information exchange, in which each agent is modeled as a linear and introspective descriptor system (DS). A scale-free collaborative protocol design is developed to achieve state synchronization of DMAS and simultaneously eliminate impulsive behaviors of each descriptor agent. Furthermore, the necessary condition is provided to guarantee that the established protocol works for DMAS with any communication network containing at least a directed spanning tree and with arbitrary number of agents. Finally, the effectiveness of the proposed methodology is demonstrated through a numerical example.

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