Abstract

In this article, we study ensemble control problems which involve controlling a continuum of dynamical systems with different dynamics by using the same control signal. In particular, we look into ensemble control of linear systems. From the standpoint of mathematical control theory, the challenge is to simultaneously steer a continuum of systems between points of interest with the same control signal. This raises some new and unexplored questions about controllability and optimal control of such systems. We analyze ensemble controllability and optimal control of linear systems and study in detail the problem of controlling an uncountable family of harmonic oscillators. We show how the ideas of polynomial approximation are in connection with the ensemble controllability. We also find the optimal ensemble control for this linear ensemble control system.

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3768-3773
Number of pages6
ISBN (Print)1424414989, 9781424414987
DOIs
StatePublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

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