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arXiv · 1603.07133

Ensemble controllability by Lie algebraic methods

A. Agrachev·Yu. Baryshnikov·A. Sarychev
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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 $\mathbb{R}^3$, and provide a variant of Rashevsky-Chow theorem for approximate controllability of control-linear ensembles.

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A. Agrachev, Yu. Baryshnikov, A. Sarychev. 2016-03-23. Ensemble controllability by Lie algebraic methods. https://arxiv.org/abs/1603.07133

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