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Abstract

The purpose of this chapter is to provide an introduction to the emerging field of ensemble control for linear systems, i.e., the control of families of linear systems. Ensemble control refers to the task of controlling a large, potentially infinite, number of states, or systems, using a single-input function or a single-feedback controller. Thus, controlling ensembles is very much at the core of a robust theory of networks of systems. The study of ensembles is motivated from quite different applications.

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Fuhrmann, P.A., Helmke, U. (2015). Control of Ensembles. In: The Mathematics of Networks of Linear Systems. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-16646-9_12

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