Ensemble controllability by lie algebraic methods

Andrei Agrachev, Yuliy Baryshnikov, Andrey Sarychev

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)921-938
Number of pages18
JournalESAIM - Control, Optimisation and Calculus of Variations
Issue number4
StatePublished - Oct 1 2016


  • Ensemble controllability
  • Infinite-dimensional control systems
  • Lie algebraic methods

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics


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