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The Complexity in Complete Graphic Characterizations of Multiagent Controllability.

Zhijian Ji, Hai Lin, Shaobin Cao

IEEE Transactions on Cybernetics

|February 25, 2020

Summary

This study simplifies multiagent controllability by developing a graph-based method to identify network structures ensuring control under any leader selection. It reveals the complexity of complete controllability graphic characterization.

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Area of Science:

Control Theory
Graph Theory
Network Science

Background:

Complete graphic characterization of multiagent controllability is complex, especially when selecting any number and location of leaders.
Existing studies often focus on limited leader classes, increasing the difficulty of generalizable solutions.

Purpose of the Study:

To present a systematic process for complete graphic characterization of multiagent controllability.
To develop a method for designing network topologies that ensure controllability regardless of leader selection.
To analyze the impact of network size on controllability complexity.

Main Methods:

Detailed analysis of six-node graphs.
Utilizing controllability destructive nodes for systematic identification.
Comparing controllability complexity between five- and six-node graphs.

Main Results:

A systematic design and identification process for complete graphic characterization.
Topologies that directly determine controllability at the network level.
Demonstration of increased graph-theory-based controllability complexity with additional nodes.

Conclusions:

The proposed method simplifies leader selection for multiagent systems.
Network topology design can ensure controllability under arbitrary leader configurations.
Understanding node addition's impact is crucial for complex network controllability.