Controllability of Linear Systems with inner derivation on Lie Groups
نویسندگان
چکیده
A vector eld on a connected Lie group is said to be linear if its ow is a one parameter group of automorphisms. A control-a ne system is linear if the drift is linear and the controlled vector elds right invariant. The controllability properties of such systems are studied, mainly in the case where the derivation of the group Lie algebra that can be associated to the linear vector eld is inner. After some general considerations controllability properties on semi simple, nilpotent and compact Lie groups are stated. The paper ends by many examples.
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