ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Abstract
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 control-
lability condition for a model problem in R3 , and provide a variant of Rashevsky-Chow theorem for
approximate controllability of control-linear ensembles.
