Ensemble controllability by Lie algebraic methods
arXiv:1603.07133
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 controllability condition for a model problem in , and provide a variant of Rashevsky-Chow theorem for approximate controllability of control-linear ensembles.
27 pages