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.
Ensemble Controllability by Lie Algebraic Methods / Agrachev, Andrey; Baryshnikov, Yuliy; Sarychev, Andrey. - In: ESAIM. COCV. - ISSN 1292-8119. - STAMPA. - 22:(2016), pp. 921-938. [10.1051/cocv/2016029]
Ensemble Controllability by Lie Algebraic Methods
SARYCHEV, ANDREY
2016
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.
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