| Issue |
ESAIM: COCV
Volume 22, Number 4, October-December 2016
Special Issue in honor of Jean-Michel Coron for his 60th birthday
|
|
|---|---|---|
| Page(s) | 921 - 938 | |
| DOI | https://doi.org/10.1051/cocv/2016029 | |
| Published online | 05 August 2016 | |
Ensemble controllability by Lie algebraic methods
1 International School for Advanced Studies (SISSA), v. Bonomea, 265, 34136 Trieste, Italy
agrachev@sissa.it
2 Steklov Mathematical Institute, Russian Acad. Sciences, Moscow, Russia
3 University of Illinois at Urbana-Champaign 1409 W. Green Str., Urbana IL 61801, USA
ymb@uiuc.edu
4 University of Florence, DiMaI, v. delle Pandette 9, 50127 Firenze, Italy
asarychev@unifi.it
Received: 6 June 2016
Accepted: 7 June 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.
Mathematics Subject Classification: 93C15 / 93B05 / 93B27
Key words: Infinite-dimensional control systems / ensemble controllability / Lie algebraic methods
© EDP Sciences, SMAI 2016
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