TY - GEN
T1 - Control of ensemble systems on special orthogonal groups
AU - Zhang, Wei
AU - Li, Jr Shin
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/12/27
Y1 - 2016/12/27
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=85010747977&partnerID=8YFLogxK
U2 - 10.1109/CDC.2016.7798642
DO - 10.1109/CDC.2016.7798642
M3 - Conference contribution
AN - SCOPUS:85010747977
T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
SP - 2529
EP - 2534
BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 55th IEEE Conference on Decision and Control, CDC 2016
Y2 - 12 December 2016 through 14 December 2016
ER -