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 control- lability 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, Y. u.; Sarychev, A.. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - 22:4(2016), pp. 921-938. [10.1051/cocv/2016029]
Ensemble controllability by Lie algebraic methods
Agrachev, Andrey;
2016-01-01
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 control- lability condition for a model problem in R3 , and provide a variant of Rashevsky-Chow theorem for approximate controllability of control-linear ensembles.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
