Ensemble controllability by lie algebraic methods

Andrei Agrachev; Yuliy Baryshnikov; Andrey Sarychev

doi:10.1051/cocv/2016029

Ensemble controllability by lie algebraic methods

Andrei Agrachev, Yuliy Baryshnikov, Andrey Sarychev

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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.

Original language	English
Pages (from-to)	921-938
Number of pages	18
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	22
Issue number	4
DOIs	https://doi.org/10.1051/cocv/2016029
Publication status	Published - Oct 1 2016

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv/2016029

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AU - Sarychev, Andrey

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AB - 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.

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ER -

Ensemble controllability by lie algebraic methods

Abstract

All Science Journal Classification (ASJC) codes

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