Extending Shepherding Control to Three-Dimensional Spaces and Other Geometries

Extend shepherding control methods that harness one population of agents to control another from planar settings to three-dimensional spaces and other geometries, providing corresponding modeling and analysis within the harnessing-complex-systems-for-control framework.

Background

Most shepherding formulations discussed in the chapter consider planar domains. Many real-world applications, however, require three-dimensional operation or non-Euclidean geometries (e.g., aerial or aquatic environments).

The authors explicitly state that generalizing the framework to three-dimensional spaces and other geometries remains an open challenge, indicating the need for suitable models and control design tools for these settings.