On Controlled Sinusoidal Phase Coupling

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Executive Summary

This paper considers a heterogeneous coordinated phase control problem in which most agents follow a classic sinusoidal coupling protocol, but a select few agents act as leaders. These leaders have the ability to report some value other than their current phase to their neighbors. This heterogeneous model is motivated by systems in biology and in engineering. In biological contexts, observations have been made that groups of trained animals can bias the behavior of much larger groups of untrained animals. Translating these results to engineered contexts is of interest to for example, reduce the number of human operators necessary to control a fleet of many autonomous agents.

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