Ensemble controllability by Lie algebraic methods
Andrei Alexandrovich Agrachev, Yuliy M. Baryshnikov, Andrey V. Sarychev · ESAIM Control Optimisation and Calculus of Variations · 2016
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.