7 Scopus citations

Abstract

In this paper, we study the control of an ensemble of time-invariant bilinear systems defined on the special orthogonal group SO(n). This type of ensemble control systems appears in various application domains, such as the manipulation of quantum spin ensembles and motion planning for a population of robots. We establish an explicit algebraic necessary and sufficient condition to examine the controllability of systems on SO(n) by using the terminology from the theory of symmetric groups, which provides a transparent means to analyze the underlying Lie algebras. In addition, we show the equivalence between controllability and ensemble controllability of individual and ensemble systems, respectively, for systems evolving on SO(n).

Original languageEnglish
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2529-2534
Number of pages6
ISBN (Electronic)9781509018376
DOIs
StatePublished - Dec 27 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: Dec 12 2016Dec 14 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference55th IEEE Conference on Decision and Control, CDC 2016
Country/TerritoryUnited States
CityLas Vegas
Period12/12/1612/14/16

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