TY - JOUR
T1 - Ensemble controllability by lie algebraic methods
AU - Agrachev, Andrei
AU - Baryshnikov, Yuliy
AU - Sarychev, Andrey
N1 - Funding Information:
YB was supported in part by AFOSR (FA9550-10-1-05678).
Publisher Copyright:
© EDP Sciences, SMAI 2016.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2016/10/1
Y1 - 2016/10/1
N2 - We study possibilities to control an ensemble (a parameterized family) of nonlinear control systems by a single parameter-independent control. Proceeding by Lie algebraic methods we establish genericity of exact controllability property for finite ensembles, prove sufficient approximate controllability condition for a model problem in R3, and provide a variant of Rashevsky−Chow theorem for approximate controllability of control-linear ensembles.
AB - We study possibilities to control an ensemble (a parameterized family) of nonlinear control systems by a single parameter-independent control. Proceeding by Lie algebraic methods we establish genericity of exact controllability property for finite ensembles, prove sufficient approximate controllability condition for a model problem in R3, and provide a variant of Rashevsky−Chow theorem for approximate controllability of control-linear ensembles.
KW - Ensemble controllability
KW - Infinite-dimensional control systems
KW - Lie algebraic methods
UR - http://www.scopus.com/inward/record.url?scp=85041469391&partnerID=8YFLogxK
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U2 - 10.1051/cocv/2016029
DO - 10.1051/cocv/2016029
M3 - Article
SN - 1292-8119
VL - 22
SP - 921
EP - 938
JO - ESAIM - Control, Optimisation and Calculus of Variations
JF - ESAIM - Control, Optimisation and Calculus of Variations
IS - 4
ER -