Ensemble controllability by Lie algebraic methods

2016/03/23 by Andrei Agrachev, Agrachev, A., Yuliy Baryshnikov +3 · 1 citation
Earth and Planetary Sciences · Engineering · #Aquatic and Environmental Studies #FOS: Mathematics #Material Science and Thermodynamics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1603.07133

openalex publication_date 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℝ³, and provide a variant of Rashevsky-Chow theorem for approximate controllability of control-linear ensembles.

Citations

• Noncommuting vector fields, polynomial approximations and control of inhomogeneous quantum ensembles

Cited by

• Achieving Universal Approximation and Universal Interpolation via Nonlinearity of Control Families

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