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Ensemble controllability by Lie algebraic methods

arXiv 1603.07133 ↗First posted 23 Mar 2016math.OCcited by 2

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Abstract (arXiv)

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.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 Mar 2016.

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2 papers.